Question

if the roots of x²-3x+2=0 are alpha and beta then the equation of roots alpha+2, beta+2​

Answer 1

Step-by-step explanation:

α+β=3;αβ=2

S=(α+2+β+2)

=(α+β+4)

=(3+4)

= 7

P=(α+2)(β+2)

=αβ+2α+2β+4

=2+2(α+β) +4

=2+2(3) +4

= 12

∴ Equation whose roots are (α+2),(β+2) is

x² - Sx + P = 0

x² - 7x + 12 = 0