What are the solutions to the equation -x^3+0.8x^2+0.260625x-0.08775=0 ?

The solutions to the equation -x^3+0.8x^2+0.260625x-0.08775=0 are x= 9/40 ,x=-2/5 ,x= 39/40

Find the zeros of -x^3+0.8x^2+0.260625x-0.08775=0

The zeros of -x^3+0.8x^2+0.260625x-0.08775=0 are x= 9/40 ,x=-2/5 ,x= 39/40

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- x^{3} + 0.8 x^{2} + 0.260625 x - 0.08775 = 0

x = \frac{9}{40}, x = - \frac{2}{5}, x = \frac{39}{40}

Decimal Notation

x = 0.225, x = - 0.4, x = 0.975

Solution steps

- x^{3} + 0.8 x^{2} + 0.260625 x - 0.08775 = 0

Find one solution for

- x^{3} + 0.8 x^{2} + 0.260625 x - 0.08775 = 0

using Newton-Raphson:

x \approx 0.22500 \dots

Apply long division:

\frac{- x ^{3} + 0.8 x ^{2} + 0.260625 x - 0.08775}{x - 0.225} = - x^{2} + 0.575 x + 0.39

- x^{2} + 0.575 x + 0.39 \approx 0

Find one solution for

- x^{2} + 0.575 x + 0.39 = 0

using Newton-Raphson:

x \approx - 0.40000 \dots

Apply long division:

\frac{- x ^{2} + 0.575 x + 0.39}{x + 0.4} = - x + 0.975

- x + 0.975 \approx 0

x \approx 0.975

Approximate to algebraic form

x = \frac{39}{40}

Approximate to algebraic form

x \approx 0.22500 \dots : x = \frac{9}{40}

x \approx - 0.40000 \dots : x = - \frac{2}{5}

x = \frac{9}{40}, x = - \frac{2}{5}, x = \frac{39}{40}

The solutions are

x = \frac{9}{40}, x = - \frac{2}{5}, x = \frac{39}{40}

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What are the solutions to the equation -x^3+0.8x^2+0.260625x-0.08775=0 ?
The solutions to the equation -x^3+0.8x^2+0.260625x-0.08775=0 are x= 9/40 ,x=-2/5 ,x= 39/40
Find the zeros of -x^3+0.8x^2+0.260625x-0.08775=0
The zeros of -x^3+0.8x^2+0.260625x-0.08775=0 are x= 9/40 ,x=-2/5 ,x= 39/40