What are the solutions to the equation x^7-x^5=-11 ?

The solutions to the equation x^7-x^5=-11 are x\approx-1.52608…

Find the zeros of x^7-x^5=-11

The zeros of x^7-x^5=-11 are x\approx-1.52608…

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x^{7} - x^{5} = - 11

x \approx - 1.52608 \dots

Solution steps

x^{7} - x^{5} = - 11

Move

11

to the left side

x^{7} - x^{5} + 11 = 0

Find one solution for

x^{7} - x^{5} + 11 = 0

using Newton-Raphson:

x \approx - 1.52608 \dots

Apply long division:

\frac{x ^{7} - x ^{5} + 11}{x + 1.52608 \dots} = x^{6} - 1.52608 \dots x^{5} + 1.32892 \dots x^{4} - 2.02805 \dots x^{3} + 3.09498 \dots x^{2} - 4.72320 \dots x + 7.20799 \dots

x^{6} - 1.52608 \dots x^{5} + 1.32892 \dots x^{4} - 2.02805 \dots x^{3} + 3.09498 \dots x^{2} - 4.72320 \dots x + 7.20799 \dots \approx 0

Find one solution for

x^{6} - 1.52608 \dots x^{5} + 1.32892 \dots x^{4} - 2.02805 \dots x^{3} + 3.09498 \dots x^{2} - 4.72320 \dots x + 7.20799 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 1.52608 \dots

2 (2 x + 1) (x^{2} + 1) = 0

3 y^{2} \cdot (y - 5) = 0

x, (d^{4} - a^{4}) \cdot y = x^{4}

x^{3} - 4 x^{2} - 3 x - 10 = 0

- x^{4} + 2 x^{2} + 8 = 0

What are the solutions to the equation x^7-x^5=-11 ?
The solutions to the equation x^7-x^5=-11 are x\approx-1.52608…
Find the zeros of x^7-x^5=-11
The zeros of x^7-x^5=-11 are x\approx-1.52608…