Question

ax 2 + a= a2x+ x find the roots​

Answer 1

the standard form of the quadratic equation is ...

ax2-(a2+1)x+a=0

D=b2-4ac

D=(a2-1)2

x=a or 1/a

Answer 2

$given, \: ax {}^{2} + a = a {}^{2} x + x \\ = > ax {}^{2} + a - a {}^{2} x - x = 0 \\ = > ax {}^{2} - a {}^{2} x - x + a = 0 \\ = > ax(x - a) - 1(x - a) = 0 \\ = > x - a = 0 \: or \: ax - 1 = 0 \\ = > x = a \: or \: x = \frac{1}{a} \\ hence, \: the \: required \: roots \: of \: the \: given \: equation \: are \: a \: and \: \frac{1}{a}$