Factorise -2x^2+7x-6
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Answered by
60
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dasnamitadxbp4nccu:
=2x^2+7x-6
=-(2x^2-7x+6)
Multiply 2 with +6
So we get 12
Product= 12
Sum =-7
Number are -4 and -3
=-(2x^2-4x-3x+6)
=-(2x(x-2)-3(x-2))
=-(2x-3)(x-2)
=-(2x-3) =-2x+3 =2x=-3 =x=-3/2
=x-2 =x=2
Answered by
5
The factorized form of the equation is (2-x)(2x-3).
Given,
A quadratic equation -2x²+7x-6.
To Find,
The factorized form of this equation.
Solution,
The given quadratic equation is
-2x²+7x-6
Using the middle term splitting method
-2x²+7x-6
-(2x²-7x+6)
Splitting the middle term -7x as -3x-4x.
-(2x²-3x-4x+6)
-(x(2x-3)-2(2x-3))
-(x-2)(2x-3)
(2-x)(2x-3)
Hence, the factorized form of the equation is (2-x)(2x-3).
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