Solve a x^3+x^5-x^2=?

Eva Patricia Rodríguez Escoto

Eva Patricia Rodríguez Escoto

Answered question

2022-08-23

Answer & Explanation

xleb123

xleb123

Skilled2023-05-24Added 181 answers

To solve the equation x3+x5x2=0, we can attempt to factor out common terms and then solve for the values of x.
First, we notice that all the terms contain the common factor x2. Factoring out x2 from each term, we have:
x2(x3+x5x)=0
Now, we can apply the zero product property, which states that if a product of factors is equal to zero, then at least one of the factors must be zero. Therefore, we set each factor equal to zero and solve for x.
Setting x2=0, we find x=0 as a solution.
Setting x3+x5x=0 equal to zero, we have a more complicated equation. Unfortunately, this equation does not have a simple algebraic solution. We can solve it numerically or graphically to find approximate solutions.
Hence, the solutions to the equation x3+x5x2=0 are x=0 and the remaining solutions can be found by numerical or graphical methods.

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