Question

itle="x - 1 = \sqrt{ \frac{y + 7}{2} } " alt="x - 1 = \sqrt{ \frac{y + 7}{2} } " align="absmiddle" class="latex-formula">
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Answer 1

Solving for x:

$x = \sqrt{ \frac{y + 7}{2} } + 1$

Step-by-step explanation:

1) Just add 1 to both sides.

Solving for y:

$y = 2( {x}^{2} - 2x + 1) - 7$

Step by step explanation:

1) Square both sides.

${x}^{2} - 2x + 1 = \frac{y + 7}{2}$

2) Multiply both sides by 2.

$( {x}^{2} - 2x + 1) \times 2 = y + 7$

3) Regroup terms.

$2( {x}^{2} - 2x + 1) = y + 7$

4) Subtract 7 from both sides.

$2( {x}^{2} - 2x + 1) - 7 = y$

5) Switch sides.

$y = 2( {x}^{2} - 2x + 1) - 7$

Therefor, the answer for Y is y = 2 ( x² - 2x + 1) -7.