Math, asked by Yash1537, 1 year ago

Factorise -2x^2+7x-6

Answers

Answered by newton82
60

 - 2 {x}^{2}  + 7x - 6 \\  =  - (2 {x}^{2}    -   7x + 6) \\  =  - (2 {x}^{2}  - 4x - 3x + 6) \\  =  - (2x(x - 2) - 3(x - 2)) \\  =  - (2x - 3)(x - 2)
Hope it helps mark as brainelist

dasnamitadxbp4nccu: =2x^2+7x-6
newton82: what
dasnamitadxbp4nccu: sorry dear by mistake i will do it again
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
newton82: why are you writing this to me
Answered by Agastya0606
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).

#SPJ3

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