What are the solutions to the equation 15x^3+14x^2-8x=900 ?

The solutions to the equation 15x^3+14x^2-8x=900 are x\approx 3.66904…

Find the zeros of 15x^3+14x^2-8x=900

The zeros of 15x^3+14x^2-8x=900 are x\approx 3.66904…

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15 x^{3} + 14 x^{2} - 8 x = 900

x \approx 3.66904 \dots

Solution steps

15 x^{3} + 14 x^{2} - 8 x = 900

Move

900

to the left side

15 x^{3} + 14 x^{2} - 8 x - 900 = 0

Find one solution for

15 x^{3} + 14 x^{2} - 8 x - 900 = 0

using Newton-Raphson:

x \approx 3.66904 \dots

Apply long division:

\frac{15 x ^{3} + 14 x ^{2} - 8 x - 900}{x - 3.66904 \dots} = 15 x^{2} + 69.03570 \dots x + 245.29528 \dots

15 x^{2} + 69.03570 \dots x + 245.29528 \dots \approx 0

Find one solution for

15 x^{2} + 69.03570 \dots x + 245.29528 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 3.66904 \dots

x^{3} + 2 x^{2} + 4 = 0

(1 + 0.25)^{1} = (1 + x)^{15}

- z^{8} = - 64

2 x^{3} - 7 x^{2} + 13 x = 0

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

What are the solutions to the equation 15x^3+14x^2-8x=900 ?
The solutions to the equation 15x^3+14x^2-8x=900 are x\approx 3.66904…
Find the zeros of 15x^3+14x^2-8x=900
The zeros of 15x^3+14x^2-8x=900 are x\approx 3.66904…