X - 1 = \sqrt{ (y + 7)/(2) }

Question

asked Apr 5, 2022 43.3k views

1 Answer

Jerseyboy · Answer 1 · 2022-04-11T07:53:35+0000

$x = \sqrt{ (y + 7)/(2) } + 1$

1) Just add 1 to both sides.

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

1) Square both sides.

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

2) Multiply both sides by 2.

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

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.