Question

$${ x }^{ 2 } - \frac{ a }{ 4 } x+a=0$$

Solve for a

$a=-\frac{4x^{2}}{4-x}$
$x\neq 4$

Show Solution

Solve for x (complex solution)

$x=\frac{\sqrt{a\left(a-64\right)}+a}{8}$
$x=\frac{-\sqrt{a\left(a-64\right)}+a}{8}$

Solve for x

$x=\frac{\sqrt{a\left(a-64\right)}+a}{8}$
$x=\frac{-\sqrt{a\left(a-64\right)}+a}{8}\text{, }a\geq 64\text{ or }a\leq 0$