What are the solutions to the equation x^3-9x^2+4=0 ?

The solutions to the equation x^3-9x^2+4=0 are x\approx-0.64402…,x\approx 0.69395…,x\approx 8.95006…

Find the zeros of x^3-9x^2+4=0

The zeros of x^3-9x^2+4=0 are x\approx-0.64402…,x\approx 0.69395…,x\approx 8.95006…

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x^{3} - 9 x^{2} + 4 = 0

x \approx - 0.64402 \dots, x \approx 0.69395 \dots, x \approx 8.95006 \dots

Solution steps

x^{3} - 9 x^{2} + 4 = 0

Find one solution for

x^{3} - 9 x^{2} + 4 = 0

using Newton-Raphson:

x \approx - 0.64402 \dots

Apply long division:

\frac{x ^{3} - 9 x ^{2} + 4}{x + 0.64402 \dots} = x^{2} - 9.64402 \dots x + 6.21096 \dots

x^{2} - 9.64402 \dots x + 6.21096 \dots \approx 0

Find one solution for

x^{2} - 9.64402 \dots x + 6.21096 \dots = 0

using Newton-Raphson:

x \approx 0.69395 \dots

Apply long division:

\frac{x ^{2} - 9.64402 \dots x + 6.21096 \dots}{x - 0.69395 \dots} = x - 8.95006 \dots

x - 8.95006 \dots \approx 0

x \approx 8.95006 \dots

The solutions are

x \approx - 0.64402 \dots, x \approx 0.69395 \dots, x \approx 8.95006 \dots

4 x^{3} + 4 x^{2} - 7 x + 2 = 0

2 t^{4} + 4 t^{3} - 4 t^{2} = 0

16 x - 64 x^{3} = 0

x^{3} + 4 x^{2} + 6 x = 0

(x^{2} + 2 x) (x^{2} + 2 x - 7) = 8

What are the solutions to the equation x^3-9x^2+4=0 ?
The solutions to the equation x^3-9x^2+4=0 are x\approx-0.64402…,x\approx 0.69395…,x\approx 8.95006…
Find the zeros of x^3-9x^2+4=0
The zeros of x^3-9x^2+4=0 are x\approx-0.64402…,x\approx 0.69395…,x\approx 8.95006…