Question
Find the value of k so that sum of the squares of roots of equation x2−8x+k=0 is 30.
Answer: Option D
:
D
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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:
D
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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