What are the solutions to the equation x^3-x^2=400 ?

The solutions to the equation x^3-x^2=400 are x\approx 7.71693…

Find the zeros of x^3-x^2=400

The zeros of x^3-x^2=400 are x\approx 7.71693…

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x^{3} - x^{2} = 400

x \approx 7.71693 \dots

Solution steps

x^{3} - x^{2} = 400

Move

400

to the left side

x^{3} - x^{2} - 400 = 0

Find one solution for

x^{3} - x^{2} - 400 = 0

using Newton-Raphson:

x \approx 7.71693 \dots

Apply long division:

\frac{x ^{3} - x ^{2} - 400}{x - 7.71693 \dots} = x^{2} + 6.71693 \dots x + 51.83408 \dots

x^{2} + 6.71693 \dots x + 51.83408 \dots \approx 0

Find one solution for

x^{2} + 6.71693 \dots x + 51.83408 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 7.71693 \dots

7 x^{6} + 35 x^{4} + 4 = 0

- 2 x^{4} + 3.8 x^{3} - 1 = 0

25 x^{4} - 34 x^{2} + 9 = 0

x^{4} - 8 x^{3} + 17 x^{2} - 8 x + 1 = 0

5 x^{4} = 45 x^{2}

What are the solutions to the equation x^3-x^2=400 ?
The solutions to the equation x^3-x^2=400 are x\approx 7.71693…
Find the zeros of x^3-x^2=400
The zeros of x^3-x^2=400 are x\approx 7.71693…