Question

Find the sum and product of the roots of the quadratic equations:

(1)

(2)

(3)

(4)

(5)

(6)

Answer 1

(1)

Comparing this equation with_,

Let α and β be the roots of the equation.

Then, sum of the roots,

Product of the roots,

Hence,

(2)

Comparing this equation with_,

Let α and β be the roots of the equation.

Then, sum of the roots,

Product of the roots,

Hence,

(3)

The above equation can be written as

Comparing this equation with _,

Let α and β be the roots of the equation.

Then, sum of the roots,

Product of the roots,

Hence,

(4)

Comparing this equation with_,

Let α and β be the roots of the equation.

Then, sum of the roots,

Product of the roots,

Hence,

(5)

The above equation can be written as

Comparing this equation with_,

Let α and β be the roots of the equation.

Then, sum of the roots,

Product of the roots,

Hence,

(6)

Comparing this equation with_,

Let α and β be the roots of the equation.

Then, sum of the roots,

Product of the roots,

Hence,