Question

Someone please help me I really need help me step by step and answer

Answer 1

1) subtract from both sides

$y - 5 = (x - 4) {}^{2}$

2) divide both sides by -2

$- \frac{y - 5}{5} = (x - 4) {}^{2}$

(1)take the square root of both sides

$\sqrt{ \frac{y - 5}{2} } = x - 4$

(2) simplify

$\sqrt{ - \frac{y - 5}{2 +} } + \sqrt{ \frac{y - 5}{2} }$

$\sqrt{ \frac{y - 5}{1} } = x - 4$

5) regroup terms

$\sqrt{ \frac{y - 5}{2} } = x - 4$

6) switch sides

$x - 4 = \sqrt{ \frac{y - 5}{2} }$

7) break down the problem into these 2 equations

$x - 4 = \sqrt{ \frac{y - 5}{2} }$

8) solve the 1st equation

$x = 4 - 2 \sqrt{ \frac{y - 5}{2} }$

(1) add 4 to both sides

$x = \sqrt{ \frac{y - 5}{2} } + 4$

(2) regroup terms

$x = 4 + 2 \sqrt{ \frac{y - 5}{2} }$

9) solve the 2nd equation

$x - 4 = - 2 \sqrt{ \frac{y - 5}{2} }$

(1) add 4 to both sides

$x = - 2 \sqrt{ \frac{y - 5}{2} } + 4$

(2) regroup terms

$x = 4 - \sqrt{ \frac{y - 5}{2} }$

10) collect all solutions

$x = 4 + \sqrt{ \frac{y - 5}{2} }4 - \sqrt{ \frac{y - 5}{2} }$

that's your answer!

$x = 4 + \sqrt{ \frac{y - 5}{2} } 4 - \sqrt{ \frac{y - 5}{2} }$

I hope it understand you