What are the solutions to the equation 5x^3-6x^2-7=0 ?

The solutions to the equation 5x^3-6x^2-7=0 are x\approx 1.69011…

Find the zeros of 5x^3-6x^2-7=0

The zeros of 5x^3-6x^2-7=0 are x\approx 1.69011…

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5 x^{3} - 6 x^{2} - 7 = 0

x \approx 1.69011 \dots

Solution steps

5 x^{3} - 6 x^{2} - 7 = 0

Find one solution for

5 x^{3} - 6 x^{2} - 7 = 0

using Newton-Raphson:

x \approx 1.69011 \dots

Apply long division:

\frac{5 x ^{3} - 6 x ^{2} - 7}{x - 1.69011 \dots} = 5 x^{2} + 2.45056 \dots x + 4.14173 \dots

5 x^{2} + 2.45056 \dots x + 4.14173 \dots \approx 0

Find one solution for

5 x^{2} + 2.45056 \dots x + 4.14173 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.69011 \dots

0 = x^{4} - 2 x^{2} - 8

y, x = y^{6}

y, x = y^{7}

z^{4} + 81 = 0

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

What are the solutions to the equation 5x^3-6x^2-7=0 ?
The solutions to the equation 5x^3-6x^2-7=0 are x\approx 1.69011…
Find the zeros of 5x^3-6x^2-7=0
The zeros of 5x^3-6x^2-7=0 are x\approx 1.69011…