Question 1 (iv)
Find the roots of the quadratic equations by using the quadratic formula in the following question.
−x2+7x−10=0
Given equation is −x2+7x−10=0
on comparing with ax2 + bx + c = 0, we get
a = - 1, b = 7 and c = - 10
by quadratic formula, x=−b±√b2−4ac2a
=−(7)±√(7)2−4(−1)(−10)2(−1)=7±√49−40−2
=−7±√9−1=−7±3−2=−4−2, −10−2=2, 5
So, 2 and 5 are two roots of the given equation.