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Question

If a and b are the non-zero distinct roots of x2+ax+b=0, then the least value of x2+ax+b is

A
23
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B
94
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C
94
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D
1
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Solution

The correct option is C 94
Solution : a and b are root of x2+ax+b=0
Sum of root :a+b=a, 2a+b=0
Product of root : ab=b,b(a1)=0
{a=1b=2b0
Minimum value of x2+ax+b at x=a2=12
14+(12)2=94

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