Question

Solve:
${a}^{2} {x}^{2} - 3abx + 2 {b}^{2} = 0$
​

Answer 1

Answer:

x=b/a or -2b/a

Step-by-step explanation:

a^2x^2-3abx+2b^2

a^2x^2-2abx-abx+2b^2

ax(ax-2b)-b(ax+2b)

(ax-b)(ax+2b)

x=b/a or -2b/a

Answer 2

$\sf{\underline{\boxed{\green{\large{\bold{ Solution}}}}}}$

$\sf \implies {a}^{2} {x}^{2} - 3abx + 2 {b}^{2} = 0$

$\sf\implies a^2x^2 - 2abx - abx + 2b^2 = 0$

$\sf\implies ax ( ax - 2b ) - b ( ax - 2b ) = 0$

$\sf\implies ( ax - b ) ( ax - 2b ) = 0$

☆$\sf ( ax - b ) = 0$

$\sf\longrightarrow ax = b$

$\sf\longrightarrow x = \dfrac{b}{a}$

$\sf{\red{\boxed{\bold{\dag x = \dfrac{b}{a}}}}}$

☆$\sf ( ax - 2b ) = 0$

$\sf\longrightarrow ax = 2b$

$\sf\longrightarrow x = \dfrac{2b}{a}$

$\sf{\red{\boxed{\bold{\dag x = \dfrac{2b}{a}}}}}$

___________________❤