Solve using QUADRATIC equations formula a^2 x^2-3abx+2b^2=0 please solve with clear steps! ty - Maths -

Question

Solve using QUADRATIC equations formula a^2 x^2-3abx+2b^2=0 please
solve with clear steps! ty

Lalit Mehra · Accepted Answer

$T h e g i v e n e q u a t i o n i s a^{2} x^{2} - 3 a b x + 2 b^{2} = 0 a^{2} x^{2} - 3 a b x + 2 b^{2} = 0 \Rightarrow a^{2} x^{2} - 2 a b x - a b x + 2 b^{2} = 0 \Rightarrow a x (a x - 2 b) - b (a x - 2 b) = 0 \Rightarrow (a x - b) (a x - 2 b) = 0 \Rightarrow a x - b = 0 o r a x - 2 b = 0 \Rightarrow x = \frac{b}{a} or x = \frac{2 b}{a}$

Thus, the solution of the given quadratic equation is $\frac{b}{a}$ or $\frac{2 b}{a}$ .

Solve using QUADRATIC equations formula...a^2 x^2-3abx+2b^2=0...please solve with clear steps!...ty