How to solve the above given quadratic equation? Please provide the proper steps. There are six question in exercise 4.2 and in question 1 there is five parts. Solve this part by factor method. There are many important question in quadratic equations chapter 4 class 10th math. Give an alternative method of each if possible.
Find the roots of the following quadratic equations by factorisation: 100 x² – 20x + 1 = 0
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100 x² – 20x + 1 = 0
Solving the quadratic equation, we get,
100 x² – 20x + 1 = 0
⇒ 100x² – 10x – 10x + 1 = 0
⇒ 10x(10x – 1) – 10(10x – 1) = 0
⇒ (10x -1) (10x – 1) = 0
⇒ (10x – 1) = 0 or (10x – 1) = 0
Either x = 1/10 or x = 1/10
Hence, the roots of given quadratic equation are 1/10 and 1/10.