Math Problem Statement
solve 0=(4x^3)-8x
Solution
We are asked to solve the equation:
Step 1: Factor the equation
We can factor out the greatest common factor, which is :
Step 2: Set each factor to zero
Now, set each factor equal to zero:
Step 3: Solve each equation
- implies .
- implies , so .
Final Solution:
The solutions are:
Would you like a more detailed explanation of any step?
Here are 5 related questions:
- How do you factor more complex cubic equations?
- What is the general method for solving quadratic equations?
- Can we apply the quadratic formula to solve ?
- What are the differences between real and complex roots in equations?
- How do you graph the function and find its roots?
Tip: When solving polynomial equations, always check if factoring can simplify the process before trying other methods like the quadratic formula.
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Math Problem Analysis
Mathematical Concepts
Algebra
Cubic Equations
Factoring
Formulas
Factoring method
Quadratic equation formula
Theorems
Fundamental Theorem of Algebra
Suitable Grade Level
Grades 9-12