Solve for y
y=2\left(x-5\right)^{2}-3
Solve for x (complex solution)
x=-\frac{\sqrt{2y+6}}{2}+5
x=\frac{\sqrt{2y+6}}{2}+5
Solve for x
x=-\frac{\sqrt{2y+6}}{2}+5
x=\frac{\sqrt{2y+6}}{2}+5\text{, }y\geq -3
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y=2\left(x^{2}-10x+25\right)-3
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-5\right)^{2}.
y=2x^{2}-20x+50-3
Use the distributive property to multiply 2 by x^{2}-10x+25.
y=2x^{2}-20x+47
Subtract 3 from 50 to get 47.
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