First slide
Theory of equations
Question

If α,β and γ are the roots of equation x3-3x2+x+5=0 then y= α2+αβγ satisfies the equation

Moderate
Solution

Given equation x3-3x2+x+5=0

Then α+β+γ=3, αβ+βγ+γα=1, αβγ=-5

y= α2+αβγ=(α+β+γ)2-2(αβ+βγ+γα)+αβγ

=9-2-5=2

y=2

Get Instant Solutions
When in doubt download our app. Now available Google Play Store- Doubts App
Download Now
Doubts App