Question

2. Find the roots of the following quadratic equations by factorisation:
100x2 - 20x + 1 = 0

Answer 1

x =
`(1)/(10)`

Explanation:

Given

100x² - 20x + 1 = 0 ← this is a perfect square

(10x - 1)² = 0, thus

10x - 1 = 0 ( add 1 to both sides )

10x = 1 ( divide both sides by 10 )

x =
`(1)/(10)`

Answer 2

Explanation:

100x^2-20x+1=0

100x^2-(10+10)X+1=0

100x^2-10x-10x+1=0

10x(10x-1)-1(10x-1)=0

(10x-1)(10x-1)=0

So roots are X=1/10,1/10