Q. 9

# Mark the Correct alternative in the following:The number of real solutions of isA. 0B. 2C. 3D. 4

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.

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