The roots of the equation a^{2} x^{2}-3 a b x | vedclass

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Question

(B) The given quadratic equation is $a^{2} x^{2}-3 a b x+2 b^{2}=0$.We can factorize the quadratic expression by splitting the middle term:$a^{2} x^{2

Vedclass · Accepted Answer

$\frac{2 b}{a}, \frac{b}{a}$

Vedclass · Answer

(B) The given quadratic equation is $a^{2} x^{2}-3 a b x+2 b^{2}=0$.We can factorize the quadratic expression by splitting the middle term:$a^{2} x^{2}-2 a b x-a b x+2 b^{2}=0$Grouping the terms,we get:$a x(a x-2 b)-b(a x-2 b)=0$Taking $(a x-2 b)$ as a common factor:$(a x-2 b)(a x-b)=0$Setting each factor to zero:$a x-2 b=0 \Rightarrow x=\frac{2 b}{a}$$a x-b=0 \Rightarrow x=\frac{b}{a}$Thus,the roots of the equation are $\frac{2 b}{a}$ and $\frac{b}{a}$.

The roots of the equation $a^{2} x^{2}-3 a b x+2 b^{2}=0$ are

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