# Calculus

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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 -

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 -

I got x=10/3 and x=6

• Calculus -

3x^2 - 8x + 5 = 5
x(3x-8) = 0
x = 0 or x = 8/3

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