What are the solutions to the equation 127+5x+3+10x^7+88=360 ?

The solutions to the equation 127+5x+3+10x^7+88=360 are x\approx 1.44997…

Find the zeros of 127+5x+3+10x^7+88=360

The zeros of 127+5x+3+10x^7+88=360 are x\approx 1.44997…

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127 + 5 x + 3 + 10 x^{7} + 88 = 360

x \approx 1.44997 \dots

Solution steps

127 + 5 x + 3 + 10 x^{7} + 88 = 360

Refine

10 x^{7} + 5 x + 218 = 360

Move

360

to the left side

10 x^{7} + 5 x - 142 = 0

Find one solution for

10 x^{7} + 5 x - 142 = 0

using Newton-Raphson:

x \approx 1.44997 \dots

Apply long division:

\frac{10 x ^{7} + 5 x - 142}{x - 1.44997 \dots} = 10 x^{6} + 14.49977 \dots x^{5} + 21.02435 \dots x^{4} + 30.48483 \dots x^{3} + 44.20233 \dots x^{2} + 64.09239 \dots x + 97.93254 \dots

10 x^{6} + 14.49977 \dots x^{5} + 21.02435 \dots x^{4} + 30.48483 \dots x^{3} + 44.20233 \dots x^{2} + 64.09239 \dots x + 97.93254 \dots \approx 0

Find one solution for

10 x^{6} + 14.49977 \dots x^{5} + 21.02435 \dots x^{4} + 30.48483 \dots x^{3} + 44.20233 \dots x^{2} + 64.09239 \dots x + 97.93254 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.44997 \dots

x^{3} - 3 x^{2} - 28 x + 60 = 0

35 = \frac{x ^{2} ( 4 x + 6 )}{2}

22 = 3 (x + 3)^{3} - 2

2 x^{3} - 13 x^{2} + 22 x - 8 = 0

x, y = x^{3} + 3

What are the solutions to the equation 127+5x+3+10x^7+88=360 ?
The solutions to the equation 127+5x+3+10x^7+88=360 are x\approx 1.44997…
Find the zeros of 127+5x+3+10x^7+88=360
The zeros of 127+5x+3+10x^7+88=360 are x\approx 1.44997…