Solve the equation
x2 + 4x - 7 = 0
by completing the square.
Give your answers correct to 2 decimal places.​

Answers

Answer 1

Answer:

x ≈ - 5.32, x ≈ 1.32

Step-by-step explanation:

Given

x² + 4x - 7 = 0 ( add 7 to both sides )

x² + 4x = 7

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(2) x + 4 = 7 + 4

(x + 2)² = 11 ( take the square root of both sides )

x + 2 = ± [tex]\sqrt{11}[/tex] ( subtract 2 from both sides )

x = - 2 ± [tex]\sqrt{11}[/tex]

Then

x = - 2 - [tex]\sqrt{11}[/tex] ≈ - 5.32 ( to 2 dec. places )

x = - 2 + [tex]\sqrt{11}[/tex] ≈ 1.32 ( to 2 dec. places )


Related Questions

what is the value of y?

Answers

The value of Y is h:8.

Answer:

g. 8[tex]\sqrt{2}[/tex]

Step-by-step explanation:

since it's a 45 45 90 triangle, both the legs are the same (8) and the hypotenuse(y) would be 8 rad 2 :)

Find d.


(Please explain why it is the answer you picked, I’m having a hard time understanding, my teacher gives us lessons to teach ourselves but I don’t even know how to start)

Answers

Answer:

i dont know if its right since i havent done trig in ages but

[tex]3 \sqrt{3} [/tex]

Step-by-step explanation:

tan(30)x9?

put the opposite angle inside the () since were doing toa which is tan(sin)=opposite/adj

so if we rearrange the formula to make opposite the subjects its

opposite=tan x adj

this is probably wrong so u might want to check with someone else

(1/2 - 1/2) - (-1/16 + 1/16)​

Answers

Answer:

I think the answer is 0. .......

0-0
so the answer is just 0

Write two equivalent expressions for 15(3 + w).
1.
2.

Answers

1. 15/4 (2w+3)^2 - 135/4
2. w(15w+45)

What is the distance between points (8, 3) and (3, 1) on the coordinate plane?
A.) 3 units
B.) √21 units
C.) 29 units
D.) 7 units
WILL MARK BRAINLIEST!!!!

Answers

Answer: The correct answer is 29 units

Step-by-step explanation: Can i Get the brainliest answer?

The distance between points (8, 3) and (3, 1) on the coordinate plane is √29 units.

Given that, the distance between points (8, 3) and (3, 1) on the coordinate plane.

What is distance formula?

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x1, y1) and (x2, y2) is Distance = √[(x2-x1)²+(y2-y1)²].

Now,

Put, (x1, y1)=(8,3) and (x2, y2)=(3,1) in distance formula, that is

Distance = √[(1-3)²+(3-8)²]

= √(4+25)

= √29 units

Therefore, the distance between points (8, 3) and (3, 1) on the coordinate plane is √29 units.

To learn more about the distance formula visit:

https://brainly.com/question/27262878.

#SPJ6

Which equation represents the line that passes through (0,0) and is perpendicular to y= -4/3x + 3

Answers

Answer:

y=3/4x

Step-by-step explanation:

Before the celebration for
Groundhog Doy, the city
set up on hexogonal
barner around the park. If
each side of the barrier
was 145 yards long, how
mony feet of fencing were
used to create the barrier?

Answers

Answer:

Doin it for the bag!!

Is 2x+7=-3x+8 one solution?

Answers

Answer:

yes, it is x=1/5

Step-by-step explanation:

i can give you the steps if you want

Answer : x= 1/5

Step by step: first collect like terms so it would be 2x+3x =8-7 which is also 5x= 1 and then get x alone by dividing by 5
So it becomes 1/5

what is the value of -5 ?

Answers

Answer:

5

Step-by-step explanation:

You just change the signs

Answer: it will depended on the -5 i think if you write it in standard form

Step-by-step explanation:

Can someone explain how to do this? Will mark as brainliest

Answers

Answer: x is the angle of the tricundicular angle of the imperfect triangle. It’s like area but it’s an imperfect triangle, there’s is also 2 different numbers that u should get from this

Step-by-step explanation: pls mark brainliest

Please help due today

Answers

Answer:

160 - 2

120 - 1 1/2

240 - 3

Step-by-step explanation:

80 km driven every hour

A cookie recipe requires 2 pounds of butter to make 18 dozen cookies. If a baker wants to make only 3 dozen cookies, which proportion can he use to find b, the number of pounds of butter he needs.

2/18 = b3

5/18 = b3

2/18 = 3b

3/18 = 2b

Answers

2/18= 3b THATS THE ANSWER

Please help if you want BRIANLEIST!!

Answers

Answer:

9/9 × 7 is equal to 7

9/9 × 7 =

9/9 × 7/1 =

9 × 7 = 63

9 × 1 = 9

63/9 ÷ 9 = 7

help, please!!!its urgent

Answers

Answer:

Step-by-step explanation:

its f because its pretty easy

LOL PLZ HELP Which kind of function best models this relationship?
Time (months) Views
0
50
2
313
4
1950
6
12,210
76,300
8
10
476,800
Choose 1 answer:
(A A
Linear
B
Exponential

Answers

It’s b because I just know

Answer:

Exponential function

Step-by-step explanation:

Plssssss help me. Ty​

Answers

Answer:I believe it is the 2nd and 3rd one because 3 miles per hour and 1.5 miles away doesn’t make sense and the other two work out

Step-by-step explanation:

Solve for b.
b = ✓ [?]
15
8
b
Pythagorean Theorem: a2 + b2 = c2
Enter

Answers

Answer:

161

Step-by-step explanation:

8² + b² = 15²

first square 8 = 64

then square 15 = 225

ok.

225 - 64 = 161...

please help me pleeeeeeaaassseee

Answers

Answer:

Step-by-step explanation:

answer no 3:

1] Factor out the common term 2.

2(3x+y) = -26

2] Divide both sides by 2.

3x+y= -26/2

3x+y = − 13

 

3]Subtract y from both sides.

3x = - 13-y

4] Divide both sides by 3.

x = -13-y/3

Part 2:-

Add 6y to both sides.

x=21+6y

x=21+6y

​  

PLEASE HELP MEH I"M CONFUZLED
Write an expression for t divided by 218

Answers

Answer:

you have to write an expression for 't' divided by 218. Basically just do this

 

t ÷ 218

Step-by-step explanation:

Multiply. (x-6)(x+4) with work.

Answers

X x X+4X-6X-6x4
X2+4x-6X-24
X2-2X-24

Answer:

(x+-6)(x+4)

(x)(x)+(x)(4)+(-6)(x)+(-6)(4)

x^2+4x-6x-24

Answer is x^2-2x-24

Step-by-step explanation:


Evaluate 641/2 x
10-2
Give your answer as a fraction in its simplest form

Answers

Answer:  641/2x 10-2 it is 3203

Step-by-step explanation:

I need help......................

Answers

Answer:

ok....................

Step-by-step explanation:

Someone help me please

Answers

Step-by-step explanation:

the answer is

About 50 inches

A school group rented a banquet room for $110. They also paid $15 for each person (p) at the banquet. The total bill was $1,460. Which equation models the total cost for the group to rent the room?
A-15 + 110p = 1,460
B-10 + 15p = 1,460
C-110(p + 15) = 1,460
D-15(p + 110) = 1,460

Answers

Answer:

10+15p =1460

Step-by-step explanation:

write the equation of a line from the graph

Answers

Answer:

you take the graphs information and you  write it in an equation.

Step-by-step explanation:

you take the graphs information and you  write it in an equation.

What are the roots of the equation?
102

Answers

The square root of 102 is 10.09

The harbor at Green Top Lake has a lot of algae. However, as it gets colder, algae starts dying. At the beginning of fall, there 150,000 square feet of algae. Suppose half of the algae dies per month. What is the relationship between time and amount of algae?
discrete or continuous

Answers

Answer:

Discrete.

If it was continuous, probably all the algae would have died.

Discrete

It is the amount of time of an event. Fall is a type of event, which lasts for a period of time.

Find the amount Enca owes at the end of 3 years if $6500 is loaned to her at a rate of 4% compounded monthly

Answers

Answer:

7311.616

Step-by-step explanation:

6500 x 1.04^3


The graph of f(x) = is stretched vertically by a factor of 2 and then
shifted up 5 units to create the function g(x). What is the rule for g(x)?

Answers

Answer:

g(x)= 2x^2 + 5      should be right

Step-by-step explanation:

what's 10/75 simplified?

Answers

They are both divisible by 5 so

10/5 = 2
75/5 = 15

Therefore 10/75 simplified is 2/15

Answer:

The answer to your question is 2/15.

Step-by-step explanation:

Just divide it by 5

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