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Question: The roots of the equation ax<sup>2</sup> – 2hx + b = 0 are real and different if...

The roots of the equation ax2 – 2hx + b = 0 are real and different if

A

h2< ab

B

h2 = ab

C

h2> ab

D

h2> 4ab

Answer

h2> ab

Explanation

Solution

Roots are real & different

\ B2 – 4AC > 0 common.

 4h2 – 4ab > 0

 h2 – ab > 0   h2 > ab