Question

Let P(x) = x^3-5x^2+7x+k =0. If P(x) has a double root in the set of integers, find the value of k

Answer 1

Answer:

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Step-by-step explanation:

5x

2

−7x+k=0

Let α&

α

1

are the roots of the given equation ,then

α×

α

1

=

5

k

(productofthezeroes=

a

c

)

⇒1=

5

k

⇒k=5