Question

.Find the root by factorization method 2x2 +x -6 = 0

Answer 1

Solution :

Given Quadratic equation

2x² + x - 6 = 0

Splitting the middle term , we get

2x² + 4x -3x - 6 = 0

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

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

Therefore ,

x + 2 = 0 or 2x - 3 = 0

x = -2 or x = 3/2

•••••

Answer 2

2x² + x - 6 = 0

Splitting the middle term

2x² + 4x -3x - 6 = 0

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

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

x + 2 = 0 or 2x - 3 = 0

x = -2 or x = 3/2