Question

From the equation whose roots are

(1) 3 and 5

(2) 6 and − 5

(3)

(4)

(5)

(6)

Answer 1

(1) Letandbe the roots of the quadratic equation to be formed.

It is given that and

The quadratic equation whose roots are 3 and 5 is given by:

Hence, the quadratic equation is.

(2) Letandbe the roots of the quadratic equation to be formed.

_{It is given that} and

The quadratic equation whose roots are 6 and –5 is given by:

Hence, the quadratic equation is.

(3) Letandbe the roots of the quadratic equation to be formed.

_{It is given that} and

The quadratic equation whose roots are and is given by:

Hence, the quadratic equation is.

(4) Letandbe the roots of the quadratic equation to be formed.

and

The quadratic equation whose roots are and is given by:

Hence, the quadratic equation is.

(5) Letandbe the roots of the quadratic equation to be formed.

and

The quadratic equation whose roots are and is given by:

Hence, the quadratic equation is.

(6) Letandbe the roots of the quadratic equation to be formed.

and

The quadratic equation whose roots are and is given by:

Hence, the quadratic equation is .