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Goshia [24]
2 years ago
15

Solve the following equations: 5x-(x+2)^2=x^2-8+x

Mathematics
2 answers:
xxTIMURxx [149]2 years ago
6 0

Answer:

x =  \sqrt{2}  = 1.414 \\ x =  -  \sqrt{2}  =  - 1.414

Step-by-step explanation:

5x -  {(x + 2)}^{2}  =  {x}^{2}  - 8 + x \\ \\  5x - ( {x}^{2}  + 4x + 4) =  {x}^{2}  - 8 + x \\  \\ 5x -  {x}^{2}  - 4x - 4 =  {x}^{2}  - 8 + x \\  \\  -  {x}^{2}  + x - 4 =  {x}^{2}  - 8 + x \\  \\   {x}^{2}  +  {x}^{2}  + x - x = 8 - 4 \\  \\ 2 {x}^{2}  = 4 \\  \\  {x}^{2}  =  \frac{4}{2}  \\  \\  {x}^{2}  = 2  \\  \\ x =  \sqrt{2} = 1.414  \\ x =  -  \sqrt{2}  =  - 1.414

Blababa [14]2 years ago
3 0

Answer:

x = √2 = 1.414

Step-by-step explanation:

5x-(x+2)^2=x^2-8+x

since (x+2)^2 = x^2 + 2(x)(2) + 2^2 = x^2 + 4x + 4

so

5x - (x^2 + 4x + 4) = x^2 + x - 8

-x^2 + x - 4 = x^2 + x - 8

x^2 + x^2 + x - x = -4 + 8

2x^2 = 4

x^2 = 2

x = √2 = 1.414

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2 years ago
Don't understand the question.
Finger [1]
The solution is D.
From the top right & left corners drop a perpendicular line to the base forming right triangles on the right and left sides. This makes the center [art of the base  12 and the base of the triangles 7. Use the Pythagorean Theorem to find the altitude, which is the same as the height.
7^2 + b^2 = 25^2
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8 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!
Zielflug [23.3K]
Question #1

Part A:
The y-intercept can be found when x = 0. If you look at your table, when x = 0, y = 5. So the y-intercept is 5.

Part B:
\sf Slope = \frac{27-5}{1-0} = \frac{22}{1} = \boxed{22}
The slope is 22.

Part C:
y = mx + b
y = 22x + 5

We are given 225 as the range, or in place of y.
225 = 22x + 5
220 = 22x
x = 10

The domain is 10.



Question #2

Part A:

(2,255)
(5,480)

Standard form is Ax + By = C

\sf Slope = \frac{y_2-y_1}{x_2-x_1} = \frac{480-225}{5-2} = \frac{255}{3} = \boxed{85}

Let's plug this into this form first:
y - y_1 = m(x-x_1)\\\\y -225 = 85(x-2)\\\\y - 225 = 85x - 170\\\\y = 85x + 55

Now, let's make it into Standard Form.
y = 85x + 55\\\\y - 85x + 55\\\\ -85x + y = 55\\\\ -1(-85x +y) = -1(55)\\\\\boxed{85x - y = -55}
What, which is in the box, is your final answer. :)

Part B:
Function notation simply means replacing y with f(x).
We had y = 85x + 55
So your answer is:
\boxed{f(x) = 85x + 55}

Part C:
Using the final answer which we got in Part A, we would know that the y-intercept is (0,55) and the x-intercept is (-55/85, 0). We would plot these 2 points, and then draw a line between them. :)
5 0
3 years ago
Kevin is $25 in his checking account with Kevin has 2.20 less than 4 times of the amount that Molly has in her account what is t
Nikolay [14]

Answer:

$6.8

Step-by-step explanation:

suppose Molly's account balance = X

25 + 2.2 = X * 4

27.2 = X*4

27.2/4 = X = 6.8

8 0
3 years ago
Read 2 more answers
What is a solution and what is not?
Ksenya-84 [330]
Cant see the rest of the question ;-;
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3 years ago
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