What are the solutions to the equation x=3.25x^3-6x^2+7x-88 ?

The solutions to the equation x=3.25x^3-6x^2+7x-88 are x\approx 3.51379…

Find the zeros of x=3.25x^3-6x^2+7x-88

The zeros of x=3.25x^3-6x^2+7x-88 are x\approx 3.51379…

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x = 3.25 x^{3} - 6 x^{2} + 7 x - 88

x \approx 3.51379 \dots

Solution steps

x = 3.25 x^{3} - 6 x^{2} + 7 x - 88

Multiply both sides by

100

x \cdot 100 = 325 x^{3} - 600 x^{2} + 700 x - 8800

Switch sides

325 x^{3} - 600 x^{2} + 700 x - 8800 = x \cdot 100

Move

x 100

to the left side

325 x^{3} - 600 x^{2} + 600 x - 8800 = 0

Find one solution for

325 x^{3} - 600 x^{2} + 600 x - 8800 = 0

using Newton-Raphson:

x \approx 3.51379 \dots

Apply long division:

\frac{325 x ^{3} - 600 x ^{2} + 600 x - 8800}{x - 3.51379 \dots} = 325 x^{2} + 541.98286 \dots x + 2504.41585 \dots

325 x^{2} + 541.98286 \dots x + 2504.41585 \dots \approx 0

Find one solution for

325 x^{2} + 541.98286 \dots x + 2504.41585 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 3.51379 \dots

3 x^{2} - 12 x^{4} = 0

X^{3} = 30 3^{3} + 40 4^{3} + 50 5^{3}

(u^{2} - 6 u + 8) (2 u + 14) = 0

X^{4} - X^{2} + 1 = 0

4 x^{3} = 16 x

What are the solutions to the equation x=3.25x^3-6x^2+7x-88 ?
The solutions to the equation x=3.25x^3-6x^2+7x-88 are x\approx 3.51379…
Find the zeros of x=3.25x^3-6x^2+7x-88
The zeros of x=3.25x^3-6x^2+7x-88 are x\approx 3.51379…