Question

Let f(x) = 2x^3 -3x^2 -12x + k

Answer 1

a. Show that if k = 30, then f(x) = 0 has at least one solution
b. Show that if k = 30, then f(x) = 0 has exactly one solution
c. Find all values of k so that f(x) has exactly one solution

Answer 2

just replace k with 30.. and find its factor. by hit and trial

Answer 3

I got a and b using 1st and 2nd derivatives but idk how to get c

Answer 4

the value you found in part b .. put it in the equation again with K in its place and solve

Answer 5

what? I didn't find any value at b. I found the relative extrema to prove it.

Answer 6

f(x)=2x^3-3x^2-12x+30=0 and factor to find x value. Do it by grouping.

Answer 7

No, the answer is that is irrational. I already found that anyway. I just need how to do c......... if anyone can help