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Question

Question: The number of real solutions of the equation x<sup>2</sup> – \|4x + 12\| + 16 = 0 is-...

The number of real solutions of the equation

x2 – |4x + 12| + 16 = 0 is-

A

1

B

2

C

3

D

4

Answer

1

Explanation

Solution

When x < – 3

⇒ x2 + 4x + 28 = 0

No value of x

when x ≥ – 3

⇒ x2 – 4x + 4 = 0 ⇒ x = 2