Solve for y
y=5\left(x^{2}-6x+10\right)
Solve for x (complex solution)
x=-\frac{\sqrt{5y-25}}{5}+3
x=\frac{\sqrt{5y-25}}{5}+3
Solve for x
x=-\frac{\sqrt{5y-25}}{5}+3
x=\frac{\sqrt{5y-25}}{5}+3\text{, }y\geq 5
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y=5\left(x^{2}-6x+9\right)+5
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
y=5x^{2}-30x+45+5
Use the distributive property to multiply 5 by x^{2}-6x+9.
y=5x^{2}-30x+50
Add 45 and 5 to get 50.
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