Solve for y
y=2\left(x-5\right)^{2}-1
Solve for x (complex solution)
x=-\frac{\sqrt{2y+2}}{2}+5
x=\frac{\sqrt{2y+2}}{2}+5
Solve for x
x=-\frac{\sqrt{2y+2}}{2}+5
x=\frac{\sqrt{2y+2}}{2}+5\text{, }y\geq -1
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y=2\left(x^{2}-10x+25\right)-1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-5\right)^{2}.
y=2x^{2}-20x+50-1
Use the distributive property to multiply 2 by x^{2}-10x+25.
y=2x^{2}-20x+49
Subtract 1 from 50 to get 49.
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