100x2-20x+1=0 factorise by quadratic equation
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Given :- 100x² - 20x + 1 = 0 factorise by quadratic equation ?
Solution :-
→ 100x² - 20x + 1 = 0
factorising by splitting the middle term,
→ 100x² - 10x - 10x + 1 = 0
→ 10x(10x - 1) - 1(10x - 1) = 0
taking (10x - 1) common,
→ (10x - 1)(10x - 1) = 0
now, if we want roots of quadratic equation , put them equal to zero, then
→ 10x - 1 = 0
→ 10x = 1
→ x = (1/10)
hence, roots of quadratic equation are (1/10, 1/10) .
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