﻿ If the roots the equation ax2 + bx + c = are real and of opposite sign then the roots of the equation α (x – β)2 + β (x – α)2 = 0 are : Kaysons Education

# If The Roots The Equation ax2 + bx + c = Are Real And Of Opposite Sign Then The Roots Of The Equation α (x – β)2 + β (x – α)2 = 0 Are

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## Question

### Solution

Correct option is

Real and of opp. sign

Given b2 = 4ac ≥ 0 and product  ive

The given equation is

Δ is clearly + ive as  is – ive. Hence the roots are real and their product being  ive so that they are of opposite sign.

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