Given, 100x2 – 20x + 1=0
Taking LHS,
= 100x2 – 10x – 10x + 1
= 10x(10x – 1) -1(10x – 1)
= (10x – 1)2
The roots of this equation, 100x2 – 20x + 1=0, are the values of x for which (10x – 1)2= 0
∴ (10x – 1) = 0 or (10x – 1) = 0
⇒x = 1/10 or x = 1/10
Find the roots of the following quadratic equations by factorisation: (i) 100×2 – 20x + 1 = 0
Find the roots of the following quadratic equations by factorisation: (i) 100×2 – 20x + 1 = 0