Chapter 13: Q57. (page 708)

Solve the equation $x^{5} - 5 x^{3} + 4 x = 0$ .

Short Answer

Expert verified

The solution for the equation is $x = 0, - 2, 2, - 1, 1$ .

Step by step solution

Step 1. Write down the given equation.

The given equation is $x^{5} - 5 x^{3} + 4 x = 0$ .

Step 2. Simplify the equation.

The given equation $x^{5} - 5 x^{3} + 4 x = 0$ is solved as:

localid="1648547996373" $\begin{matrix} x^{5} - 5 x^{3} + 4 x = 0 .... (Given) \\ x (x^{4} - 5 x^{2} + 4) = 0 \\ x = 0 or x^{4} - 5 x^{2} + 4 = 0 \\ x = 0 or (x^{2} - 4) (x^{2} - 1) = 0 \\ x = 0 or x^{2} - 4 = 0 or x^{2} - 1 = 0 \\ x = 0 or x = \pm 2 or x = \pm 1 \end{matrix}$

Step 3. Conclusion.

The solution for the given equation is $x = 0, - 2, 2, - 1, 1$ .

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Solve the equation $x^{5} - 5 x^{3} + 4 x = 0$ .

Short Answer

Step by step solution

Step 1. Write down the given equation.

Step 2. Simplify the equation.

Step 3. Conclusion.

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Solve the equation x5-5x3+4x=0.

Short Answer

Step by step solution

Step 1. Write down the given equation.

Step 2. Simplify the equation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

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Study anywhere. Anytime. Across all devices.

Solve the equation $x^{5} - 5 x^{3} + 4 x = 0$ .