Question

solve the equation by factorisation method.​

Answer 1

$\huge\boxed{Answer:-}$

$\bf{4/3x²- 2x + 3/4=0}$

Lcm of 3 and 4 is 12 .

so ,

⇒16x² -24x + 9 / 12 = 0

⇒16x² - 24x + 9 = 0 ×12

⇒16x² - 24x + 9 = 0

{αs we know the mutiplication between any number and zero alaways becomes Zero.}

⇒16x² - 24x + 9 = 0

[Now doing middle term , we get]

⇒16x² - ( 12 + 12 )x + 9 = 0

⇒16x² - 12x - 12x + 9 = 0

⇒4x ( 4x - 3 ) - 3 ( 4x - 3 ) = 0

⇒(4x - 3 ) ( 4x- 3) = 0

so, either

↦4x - 3 = 0

↦4x = 3

↦x = 3/4

or,

↦4x - 3= 0

↦x = 3/4