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