Question

$$x=7 { y }^{ 2 } -89y$$

Answer

y=-(-89+sqrt(7921+28*x))/14,-(-89-sqrt(7921+28*x))/14

Solution


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Move all terms to one side.
\[x-7{y}^{2}+89y=0\]
Use the Quadratic Formula.
\[y=\frac{-89+\sqrt{7921+28x}}{-14},\frac{-89-\sqrt{7921+28x}}{-14}\]
Simplify solutions.
\[y=-\frac{-89+\sqrt{7921+28x}}{14},-\frac{-89-\sqrt{7921+28x}}{14}\]