Question

If are root of the equation
2 + + = 0, then form an equation whose roots are
( + )
^2 & ( − )
^2
.​

Answer 1

Answer:

Let α and β be the roots of the given equation, then

α+β=4 and

αβ=(2+

2

)(2−

2

)=4−2=2

Hence, the equation will be:

x

2

−(S)x+P⇒x

2

−4x+2=0

x

2

−4x+2=0α+β=4