Solve for y
y=x^{2}+\frac{x}{2}-\frac{15}{16}
Solve for x (complex solution)
x=-\sqrt{y+1}-\frac{1}{4}
x=\sqrt{y+1}-\frac{1}{4}
Solve for x
x=-\sqrt{y+1}-\frac{1}{4}
x=\sqrt{y+1}-\frac{1}{4}\text{, }y\geq -1
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y=x^{2}+\frac{1}{2}x+\frac{1}{16}-1
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+\frac{1}{4}\right)^{2}.
y=x^{2}+\frac{1}{2}x-\frac{15}{16}
Subtract 1 from \frac{1}{16} to get -\frac{15}{16}.
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