Mark the Correct alternative in the following: The number of real solutions of is

Question

Philoid · Accepted Answer

given |2x-x²-3| = 1

2x-x²-3 = ±1

When 2x-x²-3 = 1

⇒ 2x-x²-3 -1 = 0

⇒2x-x²-4 = 0

= x² – 2x +4 = 0

Discriminant, D = 4 - 16

= -12 < 0

Hence the roots are unreal.

When 2x-x²-3 = -1

= x² – 2x -2 = 0

Discriminant, D = 4 – 8 = - 4 < 0

Hence the roots are unreal.

Hence the given equation has no real roots.