Question

find the roots of 2 X square + X - 6 = 0​

Answer 1

Step-by-step explanation:

2x²+x-6=0

by spiltting we get

2x²+4x-3x-6=0

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

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

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

we get

x=3/2 or x=-2

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Answer 2

$\huge\sf\underline{Answer}$

Find the roots of 2x² + x - 6 = 0

=> 2x² + x - 6 = 0

=> 2x² + (4-3)x - 6 = 0

=> 2x² + 4x - 3x - 6 = 0

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

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

Therefore, Either (2x-3)= 0 or (x+2)= 0

(2x-3) = 0

=> 2x = 3

=> x = 3/2

And, (x+2) = 0

=> x = -2

Therefore, the roots of the equation are 3/2 and -2.