For what value of k is the expression x^(4)+kx^(2)+49 a perfect square? a. 7 b. 14 c. 49 d. 98

Question

For what value of k is the expression
`x^(4)`+k
`x^(2)`+49 a perfect square?

a. 7

b. 14

c. 49

d. 98

Answer 1

k = 14

Explanation:

Given:

x⁴ + kx² + 49

Find:

Value of k

Computation:

x⁴ + kx² + 49

(x²)² + (k)(x²) + 7²

we know that;

a² + 2ab + b²

On compare;

k = 2 x 7

k = 14