Question

the square root of x^4+6x^3+17x^2+24x+16​

Answer 1

Answer:

Let square root of given bi quadratic equation be x

2

+px+q

We will square the given equation

⇒x

4

+p

2

x

2

+q

2

+2px

3

+2pqx+2qx

2

Rewriting the terms ;

⇒x

4

+x

3

(2p)+x

2

(p

2

+2q)+x(2pq)+q

2

Comparing the above equation with given equation ;

⇒q

2

=16

⇒q=4

⇒2pq=24

⇒p=3

∴p=3 and q=4

∴ square root =x

2

+3x+4

Hence, the given statement is true.