the roots of quadratic equations 10xsquare-27x+5=0
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To find the roots of :-
10x² - 27x + 5 = 0
◘ Factorising by middle-term splitting :-
10x² - 27x + 5 = 0
⇒10x² - 25x - 2x + 5 = 0
⇒5x(2x - 5) - 1(2x - 5) = 0
⇒(2x - 5)(5x - 1) = 0
⇒(2x - 5) = 0 or (5x - 1) = 0
⇒x = 5/2 or x = 1/5
Hence, the roots of the quadratic equation are 5/2 and 1/5.
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