Question

Determine the nature of the roots for the following quadratic equation

x² – x – 1 = 0

Answer 1

Here a = 1, b = – 1, c = – 1

∆ = b² – 4ac

= (– 1)² – 4(1)(– 1)

= 1 + 4 = 5

∆ = 1 > 0

So the equation will have real and unequal roots.