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Question

Find the value of k so that sum of the squares of roots of equation x28x+k=0 is 30.

A
12
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B
14
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C
16
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D
17
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Solution

The correct option is D 17

Let the roots be a,b.

ab=k,a+b=8

a2+b2=30

(a+b)2=64,a2+b2+2ab=64

30+2k=64,k=17


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