Question

solve the following equations for factorisation method 100x^2-20x+1=0​

Answer 1

Step-by-step explanation:

100x²-20x+1=0

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Answer 2

$\bold\red{\underline{\underline{Answer:}}}$

$\bold{Roots \ of \ equation \ are \frac{1}{10} \ and \frac{1}{10}.}$

$\bold\purple{Explanation}$

In quadratic equation

$\bold{100x^{2}-20x+1=0}$

Here, a=100,b=-20 and c=1

a×c=100×1=100

We must split the middle term b such that it's addition will be equal to b and multiplication will be equal to 100.

-10+(-10)=-20

-10×(-10)=100

$\bold\green{\underline{\underline{Solution}}}$

$\bold{100x^{2}-20x+1=0}$

$\bold{100^{2}-10x-10x+1}$

$\bold{10x(10x-1)-1(10x-1)}$

$\bold{(10x-1)(10x-1)}$

$\bold{x=\frac{1}{10} \ or \frac{1}{10}}$

Therefore,

$\bold\purple{Roots \ of \ equation \ are \frac{1}{10} \ and \frac{1}{10}.}$