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f(x)=x^2-3x,then the points at which f(x...

`f(x)=x^2-3x`,then the points at which `f(x)=f'(x)` are

A

`1,3`

B

`1,-3`

C

`-1,3`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
`f(x)=x^(2)-3x` and `f^(`)(x)=2x-3`
But `f(x)=f^(`)impliesx^(2)-3x=2x-3impliesx^(2)-5x-5x+3=0`
`x=(5+-sqrt(25-12))/(2)=(5+-sqrt(13))/(2)`
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