Question

if the quadratic equation ax2+bx+c=0 perfect square then its root are a option different b equal C multiplicative inverse of each other d additive inverse of each other​

Answer 1

Answer:

Given,

Roots of a quadratic equation are additive inverse of each other.

Let, the roots are x

1

and x

2

Then, x

1

+x

2

=0 ....(1)

and, we know that for a polynomial:

ax

2

+bx+c=0

The sum of its roots is given by:

x

1

+x

2

=−

a

b

...(2)

Hence, from equation (1) and (2) we have

a

b

=0

Hence, b=0 ....(3)

Roots are additive of each other than coefficent of x is

Step-by-step explanation:

I hope it's help you dear

Answer 2

From the given question the correct solution is:

Given,

Roots of a quadratic equation are additive inverse of each other.

Let, the roots are x 1 and x 2

Then, x 1 +x 2 =0 ....(1)

and, we know that for a polynomial:

ax 2 +bx+c=0

The sum of its roots is given by:

x 1 +x 2 =− a b ...(2)

Hence, from equation (1) and (2) we have

a b =0

Hence, b=0 ....(3)

Roots are additive of each other than coefficent of x is b.