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Given that α and β are the roots of an equa...

Given that α and β are the roots of an equation such that α+β=3 and αβ=2, find the equation.

A.

x23x+2=0

B.

x22x+3=0

C.

x23x2=0

D.

x22x3=0

Correct answer is A

Given ax2+bx+c=0(general form of a quadratic equation)

We have x2+bax+ca=0

x2(ba)x+ca=0

x2(α+β)x+(αβ)=0