Question

Find the nature of the roots of the following quadratic equations,
(ii) x^2 -2 (√ 3)x - 1 = 0,

If real roots exist, find them,
hey plz any one answer​

Answer 1

Step-by-step explanation:

we have to check the discriminant value for the nature of the roots

b^2-4ac= [2(√3)]^2 - 4(1)(-1) = 4(3)+4=12+4=16

As D>0 so the quadratic eq. has distinct real roots.

by quadratic formula,

x= [-b±√(b^2-4ac)]/2a

x=(2√3±4)/2=√3±2