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Exercise

$x^3-5x+12=x^3-3x^2+4x$

Step-by-step Solution

Learn how to solve equations problems step by step online. Solve the equation x^3-5x+12=x^3-3x^24x. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Cancel like terms x^3 and -x^3. Combining like terms -5x and -4x. Factor the polynomial -9x+3x^2 by it's greatest common factor (GCF): 3x.
Solve the equation x^3-5x+12=x^3-3x^24x

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Final answer to the exercise

$x=\frac{3+\sqrt{7}i}{2},\:x=\frac{3-\sqrt{7}i}{2}$

Try other ways to solve this exercise

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  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
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  • Find the derivative
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  • Factor by completing the square
  • Find the roots
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Similar Questions Solved

$\log_3\left(81\right)=4$

Main Topic: Equations

In mathematics, an equation is a statement of an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions.

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