g(t) = t5 − 4t3 + 4t(a) Find the zeros algebraically. (Enter your answers as a comma-separated list. If there are no real zeros, enter DNE.)
Question
Solution 1
To find the zeros of the function g(t) = t^5 - 4t^3 + 4t, we need to set the function equal to zero and solve for t.
0 = t^5 - 4t^3 + 4t
We can factor out a t from each term:
0 = t(t^4 - 4t^2 + 4)
Now we have a quadratic equation in the form of t^2. Let's set u = t^2. Then the equation becomes:
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv
Similar Questions
g(t) = t5 − 4t3 + 4t(a) Find the zeros algebraically. (Enter your answers as a comma-separated list. If there are no real zeros, enter DNE.)
y = x5 − 10x3 + 9x(a) Find the zeros algebraically. (Enter your answers as a comma-separated list. If there are no real zeros, enter DNE.)
Find the critical numbers of the function. (Enter your answers as a comma-separated list.)g(t) = t5 − t, t < 4
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)F(x) = x4/5(x − 6)2x =
Find all values c in (−1, 1) such that f '(c) = 0. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)c =