If no zero of the quadratic expression ax2 – 2bx – 3 is real... | MATH - SOLUTION OF QUADRATIC EQUATIONS AND NATURE OF ROOTS | SolveeIt | Solveeit

Today, August 19

Question

If no zero of the quadratic expression ax² – 2bx – 3 is real. Then the value of a + 2b is

A

Always positive

B

Always negative

C

Always less than 3

D

Always greater than 3

Answer

Always less than 3

Explanation

Solution

For imaginary roots ax² – 2bx – 3 < 0 " x Ī R

Ž f(–1) < 0

Ž a + 2b – 3 < 0