SOLUTION: Can you please help me with this equation? 2m^(2/3)+3m^(1/3)-2=0, please show me the steps and get back asap (tonight if possible) Thanks so much

Question 213355This question is from textbook
: Can you please help me with this equation?
2m^(2/3)+3m^(1/3)-2=0, please show me the steps and get back asap (tonight if possible)
Thanks so much This question is from textbook

Found 2 solutions by drj, MathTherapy:
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Can you please help me with this equation?

Using the factoring approach we have the following

Step 1. Let
Then the becomes an quadratic equation in x since =

Step 2. After trial and trial, we have

we can verify using the FOIL method

Step 3. Now we have 2x-1=0 and x+2=0

Add 1 to both sides to isolate x terms on left side

Divide 2 on both sides to get x

Step 4. Now let's work

Subtract 2 from both sides to get x

Step 5. Based on the above steps, x=0.5 and x=-2

Step 6. Since then

Now for

Step 5. ANSWER: So m = 0.125 and -8.

The following steps show how to solve the above quadratic equation using the quadratic formula.

Step 1. Let

Then the becomes an quadratic equation in x since =

Step 2. Then we use the quadratic formula to

where a=2, b=3 and c=-2.

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=25 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.5, -2. Here's your graph:

Step 3 Based on the above steps, x=0.5 and x=-2

Step 4. Since then

Now for

Step 5. ANSWER: So m = 0.125 and -8.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

Answer by MathTherapy(10551) (Show Source): You can put this solution on YOUR website!
Can you please help me with this equation?
2m^(2/3)+3m^(1/3)-2=0, please show me the steps and get back asap (tonight if possible)
Thanks so much

------- Factor just like any ordinary trinomial
, or,

, or,

, or,
, or, ----- Cubing both sides of the 2 equations

, or
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