Maximum value of -5x^2 + 2x + 3 is k. Then 5K/2=
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Since we have the parabola here, let's use complete the square here.
-5x² + 2x + 3
=-5(x² + 2/5x) + 3
=-5(x² + 2/5x + 1/25 - 1/25) + 3
Use distribution law on -1/25 only.
=-5(x + 1/5)² + 1/5 + 3
=-5(x + 1/5)² + 16/5
Therefore maxima of the parabola is 16/5.
→k = 16/5
→5k = 16
→5k/2 = 8
Now it is clear that the answer is 8.
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