Posted by **Drew** on Tuesday, November 16, 2010 at 6:18pm.

Find the x-coordinates of all points on the graph of y = x^3 - 4x^2 + 5x at which the tangent line is parallel to 2y - 10x - 7 = 0

- Calculus -
**Reiny**, Tuesday, November 16, 2010 at 6:50pm
the slope of the given line is 5

so find dy/dx for the cubic

and set that result equal to 5

you will get a quadratic which factors nicely.

let me know what values of x you got.

- Calculus -
**Drew**, Tuesday, November 16, 2010 at 6:54pm
I got x=10/3 and x=6

- Calculus -
**Reiny**, Tuesday, November 16, 2010 at 6:57pm
3x^2 - 8x + 5 = 5

x(3x-8) = 0

x = 0 or x = 8/3

I don't understand how you got your answers.

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