Question

19.
Find the roots of the quadratic equation 2x² + x - 6 - 0​

Answer 1

ANSWER : (x+2) (2x-3)

Step-by-step explanation:

2x²+ x -6 =0

=> 2x²+4x-3x-6

=>

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

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

Answer 2

Answer: -2, 3/2

Step-by-step explanation:given  , 2x²+x-6

2x²+4x-3x-6 (by factorisation)

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

now common in these two is (x+2)

(x+2)(2x-3)

now equate it to 0 to find roots, x+2=0⇒ x=-2

and 2x-3=0⇒2x=3⇒ x=3/2

therfore roots are-2, 3/2

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