SOLUTION: find the coordinates of the two points on the curve y=2x^3-5x^2+9x-1 at which the gradient of the tangent is 13. I dont know how to factor the cubic equation (i tried division by i

Question 881085: find the coordinates of the two points on the curve y=2x^3-5x^2+9x-1 at which the gradient of the tangent is 13. I dont know how to factor the cubic equation (i tried division by inspection but I didnt get anywhere) and I dont know how to find the coordinates.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
To find the slope of the tangent, take the derivative.

Set the value of the derivative (slope of the tangent) equal to 13,

Two solutions:

and

Now go back to the original equation and calculate the y coordinate for each given x solution.

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