Solve by completing the sqaure a2x2 + 4abx + 4b2 = 0 - Maths - Quadratic Equations

Question

Solve by completing the sqaure
a2x2 + 4abx + 4b2 = 0

Manbar Singh · Accepted Answer

a2x2 + 4abx + 4b2 = 0⇒a2x2 + 4bxa + 4 b2a2 = 0⇒x2 + 4bxa + 4 b2a2 = 0⇒x2 + 2x2ba + 2ba2 = 0⇒x + 2ba2 = 0⇒x + 2ba  x + 2ba = 0⇒x = -b2a, -b2a