SOLUTION: Solve equation {{{(5x-1)^(2/3) -5(5x-1)^(1/3) + 4=0}}}

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Question 30987This question is from textbook College Algebra
: Solve equation
This question is from textbook College Algebra

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This is a "substitution" problem. Note the common element in your equation, . For simplicity, just replate it with y:

 Solved by pluggable solver: SOLVE quadratic equation with variable Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=9 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 4, 1. Here's your graph:

So, y = 1 or y = 4.

take to third degree