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
9−4
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D
1
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Solution
The correct option is C9−4 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(a−1)=0 {a=1b=−2b≠0
Minimum value of x2+ax+b at x=−a2=−12 ≡14+(−12)−2=−94