Question

factorize =(2x-3)² -8x +12​

Answer 1

4x^2+9 -12x-8x+12

4x^2-20x+21

4x^2-14x-6x+21

2x(2x-7)-3(2x-7)

(2x-3)(2x-7)

x=3/2 or x=7/2

Answer 2

4x^2+9-12x-8x+12

4x^2-20x+21

By using quadratic equation

X=-b+_√b^2-4ac/2a

X= -(-20)+_√400-4*4*21/8

X=20+_√400-336/8

X=20+_√64/8

X=20+_8/8

On taking (+)sign

X=20+8/8

X=28/8

X=7/2

On taking (-) sign

X=20-8/8

X=12/8

X=3/2

So X=7/2 and X=3/2

so friend this is your answer

Hope you will get help from this

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