1.

If x be real find the minimum value of 2x2 + 3x - 5

Answer»

Min value of ax^2 + BX + c (where a>0) is -D/4a.
D = DISCRIMINANT
= {b}^{2} - 4ac

Using this, min value of the expression is
\frac{ - ( {3}^{2} - 4 \times 2 \times ( - 5)) }{4 \times 2}
= -49/8


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