Find the root of the quadratic equation 2 x square minus x minus 6 is equal to zero
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Answer:
2 and 3/2
Step-by-step explanation:
Given quadratic equation,
2x^2-x-6=0
we have to find the roots of quadratic equation.
2x^2-x-6=0
By middle term splitting,
2x^2-4x+3x-6=0
Taking 2x common from first two terms and 3 from last two
2x(x-2)+3(x-2)=0
Taking (x-2) common
(x-2)(2x+3)=0
By the zero product property,
x-2=0, 2x+3=0
x=2, x=-3/2
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