$$x^2+\frac{x^1}{2} = 18$$
Answer
$$ \begin{matrix}x_1 = 4 & x_2 = -\dfrac{ 9 }{ 2 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} x^2+\frac{x^1}{2} &= 18&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2x^2+2 \cdot \frac{x^1}{2} &= 2\cdot18&& \text{cancel out the denominators} \\[1 em]2x^2+x &= 36&& \text{move all terms to the left hand side } \\[1 em]2x^2+x-36 &= 0&& \\[1 em] \end{aligned} $$
$ 2x^{2}+x-36 = 0 $ is a quadratic equation.
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