ax2+a=a2+x Find Th Roots of this equation - Maths - Quadratic Equations

Question

ax2+a=a2+x
Find Th Roots of this equation

Ajanta Trivedi · Accepted Answer

the given quadratic equation is:

$a x^{2} + a = a^{2} + x a x^{2} - x + a - a^{2} = 0 x = \frac{1 \pm \sqrt{1 - 4 a (a - a^{2})}}{2 a}$

thus the roots of the equation is $\frac{1 + \sqrt{1 - 4 a (a - a^{2})}}{2 a} o r \frac{1 - \sqrt{1 - 4 a (a - a^{2})}}{2 a}$

hope this helps you