2x2 + 5√3 x + 16 = 0


(vi) 2x2 + 5√3 x + 16 = 0

Sol. 2x2 + 5√3 x + 16 = 0
Comparing with ax2 + bx + c = 0 we have a = 2, b = 5 3 , c = 16
∴ ∆  = b2 – 4ac
= (5√3 )2 – 4 (2) (16)
= 25 × 3 – 128
= 75 – 128
= – 53
∴ ∆  < 0

Hence roots of the quadratic equation are not real.