Find all real solutions of the equation. x^{5}+8x^{2}=0

Ann Tice

Ann Tice

Answered question

2021-11-21

Find all real solutions of the equation.
x5+8x2=0

Answer & Explanation

Volosoyx

Volosoyx

Beginner2021-11-22Added 10 answers

Step 1
To find all the real solution of the equation: x5+8x2=0
Solution:
Given equation is x5+8x2=0.
Solving the given equation.
x5+8x2=0
x2(x3+8)=0
x2=0 or x3+8=0
x=0 or x3=8
x=0 or x=-2
Therefore, solution of the given equation are x={−2,0}.
Step 2
Hence, required solution is x={−2,0}.
Befoodly

Befoodly

Beginner2021-11-23Added 17 answers

Simplifying
x5+8x2=0
Reorder the terms:
8x2+x5=0
Solving
8x2+x5=0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), 'x2'.
x2(8+x3)=0
Set the factor 'x2' equal to zero and attempt to solve:
Simplifying
x2=0
Solving
x2=0
Move all terms containing x to the left, all other terms to the right.
Simplifying
x2=0
Take the square root of each side:
x = {0}
Set the factor '(8+x3)' equal to zero and attempt to solve:
Simplifying
8+x3=0
Solving
8+x3=0
Move all terms containing x to the left, all other terms to the right.
Add '-8' to each side of the equation.
8+8+x3=0+8
Combine like terms: 8 + -8 = 0
0+x3=0+8
x3=0+8
Combine like terms: 0 + -8 = -8
x3=8
Simplifying
x3=8
Solution
x = {0}

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?