Solving for x:
[tex]x = \sqrt{ \frac{y + 7}{2} } + 1[/tex]
Step-by-step explanation:
1) Just add 1 to both sides.
Solving for y:
[tex]y = 2( {x}^{2} - 2x + 1) - 7[/tex]
Step by step explanation:
1) Square both sides.
[tex] {x}^{2} - 2x + 1 = \frac{y + 7}{2} [/tex]
2) Multiply both sides by 2.
[tex]( {x}^{2} - 2x + 1) \times 2 = y + 7[/tex]
3) Regroup terms.
[tex]2( {x}^{2} - 2x + 1) = y + 7[/tex]
4) Subtract 7 from both sides.
[tex]2( {x}^{2} - 2x + 1) - 7 = y[/tex]
5) Switch sides.
[tex]y = 2( {x}^{2} - 2x + 1) - 7[/tex]
Therefor, the answer for Y is y = 2 ( x² - 2x + 1) -7.
