Question

Find the roots of the following quadratic equations by factorisation:2x²+x-6=0

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Answer 1

Answer: 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

Answer:

2x²+x-6=0

=2x²+4x-3x-6

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

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

x=3/2;;x=-2