Question

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

• A. \( \dfrac{2}{3} \)
• B. \( -\dfrac{9}{4} \)
• C. \( \dfrac{9}{4} \)
• D. 1

Hint:

Minimum of ax²+bx+c occurs at x=-(b)/(2a).

Answer 1

The Correct Option is B

The minimum value of a quadratic x²+ax+b occurs at x=-(a)/(2): min = b-(a²)/(4)=-(9)/(4)