Question

if arithmetic mean of Alpha Beta is A and alpha*beta is equal to G^2 then form the quadratic equation whose roots are alpha and beta

Answer 1

given:
$\frac{ \alpha + \beta }{2}$=A
thus,α+β=2A
αβ=G
the general equation=x²-(α+β)x+αβ=0
required eqn=x²-2Ax+G=0

Answer 2

Step-by-step explanation:

given:

\frac{ \alpha + \beta }{2} =A

thus,α+β=2A

αβ=G

the general equation=x²-(α+β)x+αβ=0

required eqn=x²-2Ax+G=0