Question

If one zero of the polynomial f(x)=x²-(K^2-2)x+8 is double of the other zero, then K is equal to​

Answer 1

Step-by-step explanation:

search-icon-headerpolynomial f(x)=(k

2

+4)x

2

+13x+4k is reciprocal of the other, then k is equal to __________.

Medium

Solution

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Correct option is A)

Let's assume the roots of the polynomial be α,

α

1

Product of the roots of the polynomial =

k

2

+4

4k

⇒α×

α

1

=

k

2

+4

4k

⇒

k

2

+4

4k

=1

⇒4k=k

2

+4

⇒k

2

−4k+4=0

⇒(k−2)

2

=0

⇒k=2