3 years ago

If x-2 is one of the factors of x^4-kx^2+4, find the value of k.

Mathematics

1 answer:

Andrei [34K]3 years ago

8 0

Step-by-step explanation:

Given expression is x⁴-kx²+4 =0

x−2 is a factor of the given expression.

So, x=2

Substitute in the equation, we get

2⁴-k(2)²+4

⇒16+4k+4=0

⇒4k=−20

⇒k=−5

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