find the roots of the equation 2x square +x-6=0 by factorisation.
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Answer:
We get 4 & 3 as middle terms such that the sum or the difference is equal to 1 and the product of the constant term and coefficient of x2is−12 . Thus, the roots of the equation2x2+x−6=0are32and−2.
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2x²+x-6=0
2x²+4x-3x-6=0
2x(x+2)-3(x+2)=0
(2x-3)(x+2)=0
Either
2x-3=0
2x=0+3
2x=3
x=3/2
Or
x+2=0
x=0-2
x=-2
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