Solve for y
y=2\left(x-7\right)^{2}-11
Solve for x (complex solution)
x=-\frac{\sqrt{2y+22}}{2}+7
x=\frac{\sqrt{2y+22}}{2}+7
Solve for x
x=-\frac{\sqrt{2y+22}}{2}+7
x=\frac{\sqrt{2y+22}}{2}+7\text{, }y\geq -11
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y=2\left(x^{2}-14x+49\right)-11
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-7\right)^{2}.
y=2x^{2}-28x+98-11
Use the distributive property to multiply 2 by x^{2}-14x+49.
y=2x^{2}-28x+87
Subtract 11 from 98 to get 87.
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