What are the solutions to the equation (8x^9)-3x=60,x ?

The solutions to the equation (8x^9)-3x=60,x are x\approx 1.25943…

Find the zeros of (8x^9)-3x=60,x

The zeros of (8x^9)-3x=60,x are x\approx 1.25943…

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(8 x^{9}) - 3 x = 60, x

x \approx 1.25943 \dots

Solution steps

(8 x^{9}) - 3 x = 60

Refine

8 x^{9} - 3 x = 60

Move

60

to the left side

8 x^{9} - 3 x - 60 = 0

Find one solution for

8 x^{9} - 3 x - 60 = 0

using Newton-Raphson:

x \approx 1.25943 \dots

Apply long division:

\frac{8 x ^{9} - 3 x - 60}{x - 1.25943 \dots} = 8 x^{8} + 10.07548 \dots x^{7} + 12.68941 \dots x^{6} + 15.98150 \dots x^{5} + 20.12767 \dots x^{4} + 25.34950 \dots x^{3} + 31.92605 \dots x^{2} + 40.20880 \dots x + 47.64039 \dots

8 x^{8} + 10.07548 \dots x^{7} + 12.68941 \dots x^{6} + 15.98150 \dots x^{5} + 20.12767 \dots x^{4} + 25.34950 \dots x^{3} + 31.92605 \dots x^{2} + 40.20880 \dots x + 47.64039 \dots \approx 0

Find one solution for

8 x^{8} + 10.07548 \dots x^{7} + 12.68941 \dots x^{6} + 15.98150 \dots x^{5} + 20.12767 \dots x^{4} + 25.34950 \dots x^{3} + 31.92605 \dots x^{2} + 40.20880 \dots x + 47.64039 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.25943 \dots

x^{12} + x^{6} - 2 = 0

z^{6} + 7 z^{3} - 8 = 0

x^{2} 3 x - 4 = 0

x^{3} - 1 = 0

x^{3} - 10 x^{2} + 19 x + 30 = 0

What are the solutions to the equation (8x^9)-3x=60,x ?
The solutions to the equation (8x^9)-3x=60,x are x\approx 1.25943…
Find the zeros of (8x^9)-3x=60,x
The zeros of (8x^9)-3x=60,x are x\approx 1.25943…