Question

solve 4 x square - 4 x + 1 by splitting the middle term

Answer 1

4x^2-4x+1=0
4x^2-(2+2)×+1=0
4x^2-2x-2x+1=0
2x(2x-1)-1(2x-1)=0
(2x-1)(2x-1)=0
2x-1=0 Or 2x-1=0
x=1/2 Or x=1/2
I hope it will help you!!!!!

Answer 2

Answer:

$x =\frac{1}{2}\:Or \: x =\frac{1}{2}$ /* Equal roots*/

Step-by-step explanation:

$Given \: quadratic\: equation\: \\4x^{2}-4x+1=0$

Splitting the middle term, we get

$implies 4x^{2}-2x-2x+1=0$

$\implies 2x(2x-1)-1(2x-1)=0$

$\implies (2x-1)(2x-1)=0$

$\implies 2x-1=0 \: 2x-1=0$

$\implies 2x=1 \: Or \:2x=1$

$\implies x =\frac{1}{2}\:Or \: x =\frac{1}{2}$

Therefore,

$x =\frac{1}{2}\:Or \: x =\frac{1}{2}$

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