Question

Solve 3(x²-4)=5x usin factorisation method

Answer 1

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Answer 2

GIVEN :—

• A quadratic equation 3(x² - 4) = 5x .

TO FIND :–

• Value of 'x' = ?

SOLUTION :–

$\\ \implies{ \bold{3( {x}^{2} - 4) = 5x}}$

$\\ \implies{ \bold{3 {x}^{2} - 12= 5x}}$

$\\ \implies{ \bold{3 {x}^{2} - 5x - 12= 0}}$

• Now Splitting Middle term –

$\\ \implies{ \bold{3 {x}^{2} { \underbrace{ - 9x + 4x}}- 12= 0}}$

$\\ \implies{ \bold{3x(x - 3) + 4(x- 3 )= 0}}$

$\\ \implies{ \bold{(3x + 4)(x - 3)= 0}}$

• So that –

$\\ \implies{ \bold{(3x + 4) = 0}}$

$\\ \implies \large{ \boxed{ \bold{x = - \dfrac{4}{3} }}}$

• And –

$\\ \implies{ \bold{x - 3= 0}}$

$\\ \implies \large{ \boxed{ \bold{x =3}}}$

● Hence , Value of 'x' = 3 , - (4/3)