Question

# Question 1 (vi) Find the roots of the quadratic equations by using the quadratic formula in the following question. x2−3√5x+10=0

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Solution

## Given equation is x2−3√5x+10=0 on comparing with ax2 + bx c = 0 we have a = 1, b = - 3√5 and c = 10 by quadratic formula, x=−b±√b2−4ac2a =−(−3√5)±√9(5)−4(1)(102(1) =3√5±√45−402=3√5±√55 =3√5+√52, 3√5−√52=2√5,√5 So, 2√5 and √5 are the roots of the given equation

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