nevaeh660606 nevaeh660606

14-12-2020
Mathematics

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For what value of k is the expression [tex]x^{4}[/tex]+k[tex]x^{2}[/tex]+49 a perfect square?

a. 7

b. 14

c. 49

d. 98

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PiaDeveau PiaDeveau

19-12-2020

Answer:

k = 14

Step-by-step 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

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