Question

Factorize and find the value of x.


$3{x}^{2} - x - 4 = 0$


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Answer 1

Answer:

3x^2-x-4=0

3x^2-4x+3x-4=0

x(3x-4)+1(3x-4)=0

(x+1)(3x-4)=0

(x+1)=0 or (3x-4)=0

x=-1 or x=4/3

Answer 2

Question :-

Factorize and find the value of x.

$\large{3 {x}^{2} - x - 4 = 0}$

Answer:-

• The value of x is 4/3 OR –1.

To find:-

• Value of x

Solution:-

$\large{ \tt : \implies \: \: \: \: 3 {x}^{2} - x - 4 = 0}$

Splitting the middle term,

$\large{ \tt : \implies \: \: \: \: 3 {x}^{2} - 4x + 3x - 4 = 0}$

$\large{ \tt : \implies \: \: \: \: x(3x - 4) + 1(3x - 4) = 0}$

$\large{ \tt : \implies \: \: \: \: (3x - 4)(x + 1) = 0}$

$\large{ \tt : \implies 3x - 4 = 0 \: \: \: \boxed{or }\: \: \: x + 1 = 0}$

$\large{ \tt : \implies 3x = 4 \: \: \: \boxed{or }\: \: \: x = - 1 }$

$\large{ \tt : \implies x = \frac{4}{3} \: \: \: \boxed{or }\: \: \: x = - 1}$

Hence,

The value of x is 4/3 OR –1.