Question
Solve the following quadratic equation: $2x^2 + ax - a^2 = 0$
✓
Answer
$2x^2 + ax - a^2 = 0$
$\Rightarrow 2x^2 + 2ax - ax - a^2 + 2 = 0$
$\Rightarrow 2x(x + a) - a(x + a) = 0$
$\Rightarrow (x + a)(2x - a) = 0$
$\Rightarrow x + a = 0$ or $2x - a = 0$
$\Rightarrow x = -a$, $\text{x}=\frac{\text{a}}{2}$
$\Rightarrow 2x^2 + 2ax - ax - a^2 + 2 = 0$
$\Rightarrow 2x(x + a) - a(x + a) = 0$
$\Rightarrow (x + a)(2x - a) = 0$
$\Rightarrow x + a = 0$ or $2x - a = 0$
$\Rightarrow x = -a$, $\text{x}=\frac{\text{a}}{2}$
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