What are the solutions to the equation 2x^5+5x=2215 ?

The solutions to the equation 2x^5+5x=2215 are x\approx 4.05573…

Find the zeros of 2x^5+5x=2215

The zeros of 2x^5+5x=2215 are x\approx 4.05573…

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2 x^{5} + 5 x = 2215

x \approx 4.05573 \dots

Solution steps

2 x^{5} + 5 x = 2215

Move

2215

to the left side

2 x^{5} + 5 x - 2215 = 0

Find one solution for

2 x^{5} + 5 x - 2215 = 0

using Newton-Raphson:

x \approx 4.05573 \dots

Apply long division:

\frac{2 x ^{5} + 5 x - 2215}{x - 4.05573 \dots} = 2 x^{4} + 8.11147 \dots x^{3} + 32.89801 \dots x^{2} + 133.42574 \dots x + 546.13983 \dots

2 x^{4} + 8.11147 \dots x^{3} + 32.89801 \dots x^{2} + 133.42574 \dots x + 546.13983 \dots \approx 0

Find one solution for

2 x^{4} + 8.11147 \dots x^{3} + 32.89801 \dots x^{2} + 133.42574 \dots x + 546.13983 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 4.05573 \dots

12 x^{3} - 26 x^{2} - 12 x = 0

25 x^{4} + 9 x^{2} - 16 = 0

x^{6} = 23

x^{6} = 2 x

- a^{3} + 12 a^{2} - 32 a = 0

What are the solutions to the equation 2x^5+5x=2215 ?
The solutions to the equation 2x^5+5x=2215 are x\approx 4.05573…
Find the zeros of 2x^5+5x=2215
The zeros of 2x^5+5x=2215 are x\approx 4.05573…