the graph of y = x^3 -9x^2 - 16x +1 has a slope of 5 at two points. Find the coordinates of the points

Question

bahrom7893 · Answer

y'=3x^2-18x-16=5

bahrom7893 · Answer

solve for x

anonymous · Answer

I know that y'= 3x^2-18x-16
0=3x^2-18-21
I am stuck

turingtest · Answer

you have forgotten how to solve the quadratic$$3x^2-18x-21=0$$this is definately a skill you need to have down for calculus
first divide out the common factor of 3, then see if you can factor the equation
if not, use the quadratic formula

anonymous · Answer

(3x-21)(x+1)..Is this correct

turingtest · Answer

yeah, but you could factor out the 3$$3x^2-18x-21=0\implies x^2-6x-7=0$$$$\implies(x-7)(x+1)=0$$

anonymous · Answer

x=7 x=-1 and i plugged it in the org equation..Thanks