What are the solutions to the equation 15x^3+14x^2-8x=90 ?

The solutions to the equation 15x^3+14x^2-8x=90 are x\approx 1.63559…

Find the zeros of 15x^3+14x^2-8x=90

The zeros of 15x^3+14x^2-8x=90 are x\approx 1.63559…

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15 x^{3} + 14 x^{2} - 8 x = 90

x \approx 1.63559 \dots

Solution steps

15 x^{3} + 14 x^{2} - 8 x = 90

Move

90

to the left side

15 x^{3} + 14 x^{2} - 8 x - 90 = 0

Find one solution for

15 x^{3} + 14 x^{2} - 8 x - 90 = 0

using Newton-Raphson:

x \approx 1.63559 \dots

Apply long division:

\frac{15 x ^{3} + 14 x ^{2} - 8 x - 90}{x - 1.63559 \dots} = 15 x^{2} + 38.53391 \dots x + 55.02586 \dots

15 x^{2} + 38.53391 \dots x + 55.02586 \dots \approx 0

Find one solution for

15 x^{2} + 38.53391 \dots x + 55.02586 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.63559 \dots

x^{3} + 9 x^{2} + 26 x + 24 = 0

x^{4} = i

9 x^{4} = 324 x^{2}

2 x^{3} - x^{2} - 50 x + 25 = 0

4 a^{3} - a^{2} = 2 a^{2}

What are the solutions to the equation 15x^3+14x^2-8x=90 ?
The solutions to the equation 15x^3+14x^2-8x=90 are x\approx 1.63559…
Find the zeros of 15x^3+14x^2-8x=90
The zeros of 15x^3+14x^2-8x=90 are x\approx 1.63559…