The value of ‘C’ for which |α2−β2|=74 , where α and β are the roots of 2x2+7x + c = 0 , is
4
0
6
2
We have α+β=72 and αβ=c2
∴ |α2−β2|=74⇒α2−β2=±74⇒(α+β)(α−β)=±74⇒−72√494−2c=±74⇒√49−8c=∓1⇒49−8c=1⇒c=6
If α and β are the roots of the equation 2x2−3x+4=0, then the equation whose roots are α2 and β2 is