What is the answer to 1/(3*(x-2)^3)=x+4 ?

The answer to 1/(3*(x-2)^3)=x+4 is x\approx 2.37395…,x\approx-4.00154…

Solve for x: 1/(3*(x-2)^3)=x+4

The solution is x\approx 2.37395…,x\approx-4.00154…

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

x \approx 2.37395 \dots, x \approx - 4.00154 \dots

Solution steps

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

Multiply both sides by

3 (x - 2)^{3}

1 = x \cdot 3 (x - 2)^{3} + 12 (x - 2)^{3}

Solve

1 = x \cdot 3 (x - 2)^{3} + 12 (x - 2)^{3} : x \approx 2.37395 \dots, x \approx - 4.00154 \dots

x \approx 2.37395 \dots, x \approx - 4.00154 \dots

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x \approx 2.37395 \dots, x \approx - 4.00154 \dots

x^{2} + (\frac{16}{x ^{2}}) = 8

\frac{66}{w} = 11

y, 3 \frac{z}{y} + 2 = 3

a = \frac{9}{4 r ^{2}}

\frac{6.5}{x} = 0.68

What is the answer to 1/(3*(x-2)^3)=x+4 ?
The answer to 1/(3*(x-2)^3)=x+4 is x\approx 2.37395…,x\approx-4.00154…
Solve for x: 1/(3*(x-2)^3)=x+4
The solution is x\approx 2.37395…,x\approx-4.00154…