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

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

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

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 = $\frac{4 a c - b^{2}}{4 a} = \frac{4 (- 5) 3 - 4^{2}}{4 (- 5)} = \frac{19}{5}$

Suggest Corrections

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?

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

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)

Join BYJU'S Learning Program