What is the answer to x=(4x^3-8x+2)/(8x+4) ?

The answer to x=(4x^3-8x+2)/(8x+4) is x\approx 0.15236…,x\approx-1.10964…,x\approx 2.95727…

Solve for x: x=(4x^3-8x+2)/(8x+4)

The solution is x\approx 0.15236…,x\approx-1.10964…,x\approx 2.95727…

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x = \frac{4 x ^{3} - 8 x + 2}{8 x + 4}

x \approx 0.15236 \dots, x \approx - 1.10964 \dots, x \approx 2.95727 \dots

Solution steps

x = \frac{4 x ^{3} - 8 x + 2}{8 x + 4}

Simplify

\frac{4 x ^{3} - 8 x + 2}{8 x + 4} : \frac{2 x ^{3} - 4 x + 1}{2 ( 2 x + 1 )}

x = \frac{2 x ^{3} - 4 x + 1}{2 ( 2 x + 1 )}

Multiply both sides by

2 (2 x + 1)

x \cdot 2 (2 x + 1) = 2 x^{3} - 4 x + 1

Solve

x \cdot 2 (2 x + 1) = 2 x^{3} - 4 x + 1 : x \approx 0.15236 \dots, x \approx - 1.10964 \dots, x \approx 2.95727 \dots

x \approx 0.15236 \dots, x \approx - 1.10964 \dots, x \approx 2.95727 \dots

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{2}

Combine undefined points with solutions:

x \approx 0.15236 \dots, x \approx - 1.10964 \dots, x \approx 2.95727 \dots

\frac{x}{16} = \frac{36}{x}

x + \frac{8}{x} = \frac{4 x - 5}{3}

\frac{( 100 P - 4000 )}{100 P} = 0.3

a, \frac{b + 2}{a + 1} = 4

\frac{18}{x} = \frac{20}{15}

What is the answer to x=(4x^3-8x+2)/(8x+4) ?
The answer to x=(4x^3-8x+2)/(8x+4) is x\approx 0.15236…,x\approx-1.10964…,x\approx 2.95727…
Solve for x: x=(4x^3-8x+2)/(8x+4)
The solution is x\approx 0.15236…,x\approx-1.10964…,x\approx 2.95727…