1.

Find the quadratic equation whose root are square, of the roots of 4x^+6x+9=0​

Answer»

ANSWER:

Given that,

X

2

−2x+3=0

Let the roots be α,β

If we consider the roots of required equation at A,B

A=α+2B=β+2

Weknow,

αβ=3

α+β=2

Re plating α,β by x and A,Bby x.

x=x−2

In equation:

(α−2)

2

−2(α−2)+3=0

x

2

+4−4x−2x+4+3=0

x

2

−6x+11=0

Required equation.


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