Solve the equation. Give reasons for each step.
[MATH]x^5 + 5x^3 - 8x - 40 = 0[/MATH]
I tried to use the rational root theorem to obtain the factors, but none of them worked.
According to Wolfram, the answer is
[MATH]x = 1.86426[/MATH]
I know that this is just an approximation.
Is there a way to find the exact solution with steps?
[MATH]x^5 + 5x^3 - 8x - 40 = 0[/MATH]
I tried to use the rational root theorem to obtain the factors, but none of them worked.
According to Wolfram, the answer is
[MATH]x = 1.86426[/MATH]
I know that this is just an approximation.
Is there a way to find the exact solution with steps?