Question

`100x^2-20x+1=0` 

Answer 1

We write, `-20x=-10x-10x  as  100x^2 xx1=100x^2=(-10x)xx(-10x)` 

`∴100x^2-20x+1=0` 

⇒`100x^2-10x-10x+1` 

⇒`10x(10x-1)-1(10x-1)=0` 

⇒` (10x-1) (10x-1)=0` 

⇒` (10x-1)^2` 

⇒` 10x-1=0` 

⇒`x=1/10` 

Hence, `1/10` is the repeated root of the given equation.