Question

factorise: 6x²+5x-6 solve the sum

Answer 1

Answer:

6x²+(9-4)x-6=0

6x²+9x-4x-6=0

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

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

if 2x+3=0

2x=-3

x=-3/2

3x-2=0

3x=2

x=2/3

Step-by-step explanation:

Answer 2

Answer:

The factors of 6x²+5x-6 are -3/2 and 2/3.

Step-by-step explanation:

Given equation: 6x²+5x-6=0

On solving we get,

6x²+(9-4)x-6=0

6x²+9x-4x-6=0

Taking 3x and 2 as the common multiple,

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

∴(2x+3)(3x-2)=0

Let (2x+3) be 0,

∴(3x-2)=0

∴x=2/3

Let (3x-2) be 0

∴2x+3=0

∴x=-3/2

Thus, the factors of 6x²+5x-6 are -3/2 and 2/3.