Question

middle term split of 2x^2+ax-a^2=0​

Answer 1

SOLUTION

$2x {}^{2} + ax - a {}^{2} \\ \\ = > 2x {}^{2} + 2ax - ax - a {}^{2} = 0 \\ \\ = > 2x(x + a) - a(x + a) = 0 \\ \\ = > (x + a) \: (2x - a) = 0 \\ \\ = > x = - a \: or \: x = \frac{a}{2}$

HOPE it helps ✔️

Answer 2

Step-by-step explanation:

$\begin{lgathered}2x {}^{2} + ax - a {}^{2} \\ \\ 2x {}^{2} + 2ax - ax - a {}^{2} = 0 \\ \\ 2x(x + a) - a(x + a) = 0 \\ \\ (x + a) \: (2x - a) = 0 \\ \\ x = - a \: or \: x = \frac{a}{2}\end{lgathered}$