$$\frac{x^1}{2}-x^2+7 = 0$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 1 }{ 4 }-\dfrac{\sqrt{ 113 }}{ 4 } & x_2 = \dfrac{ 1 }{ 4 }+\dfrac{\sqrt{ 113 }}{ 4 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} \frac{x^1}{2}-x^2+7 &= 0&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{x^1}{2}-2x^2+2\cdot7 &= 2\cdot0&& \text{cancel out the denominators} \\[1 em]x-2x^2+14 &= 0&& \text{simplify left side} \\[1 em]-2x^2+x+14 &= 0&& \\[1 em] \end{aligned} $$
$ -2x^{2}+x+14 = 0 $ is a quadratic equation.
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