The expression $- 5 x^{2} + 4 x + 3$ , has

Maximum value as $\frac{19}{5}$

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Minimum value as $\frac{- 19}{5}$

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Minimum value at $x = \frac{2}{5}$

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Maximum value at $x = \frac{2}{5}$

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Solution

The correct option is A
Maximum value as $\frac{19}{5}$

We have: $- 5 x^{2} + 4 x + 3$
$∵ a < 0 \Rightarrow$ we can only find the maximum value of the expression.
The graph will be downward facing with maximum value $= \frac{- D}{4 a}$
Maximum Value = $\frac{4 a c - b^{2}}{4 a} = \frac{4 (- 5) 3 - 4^{2}}{4 (- 5)} = \frac{19}{5}$

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Similar questions

What should be subtracted from $3 x^{3} - 5 x^{2} + 4 x - 3$ so that the resulting expression has x + 2 as a factor?

4 x^{3} - 5 x^{2} + 3

The expression $- 5 x^{2} + 4 x + 3$ , has

(4 x^{2} - 4 x)

(5 x^{2} + 3)

5 x^{3} + 5 x^{2} + 4 x + 3 + 4 x^{2} + 5 x =

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