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Question

For what values of x is the rate of increase of x35x2+5x+8 is twice the rate of increase of x?

A
3,13
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B
3,13
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C
3,13
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D
3,13
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Solution

The correct option is D 3,13
Let y=x35x2+5x+8

dydt=(3x210x+5)dxdt
Given, dydt=2dxdt
(3x210x+5)dxdt=2dxdt

(3x210x+3)dxdt=0
3x210x+3=0

3x29xx+3=0

3x(x3)1(x3)=0

(x3)(3x1)=0
x=3,13

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