Question

factorice 6x2+11x+3=0 find the answer

Answer 1

Given,

A quadratic equation 6x²+11x+3 = 0.

To Find,

The value of x.

Solution,

By using the middle term splitting we will factorize this quadratic equation,

The given quadratic equation is,

6x²+11x+3 = 0

NOw, splitting the middle term,

6x²+2x+9x+3 = 0

2x(3x+1)+3(3x+1) = 0

(3x+1)(2x+3) = 0

x = -1/3 or -3/2

Hence, the value of x is -1/3 or -3/2.

Answer 2

Given; 6x² + 11+ 3=0

To Find; factorise

Solution; this question can be easily solved by the splitting method in this method we express the middle term as the addition and subtraction of numbers formed by multiplying the first and last number

6x² + 11x + 3=0

6x²+ 9x +2 x + 3 = 0

3x ( 2x +3) +1(2x +3 )

(2x +3 )(3x +1 )

Hence the factorisation is (2x +3 )(3x +1 )