What is the answer to x+34= 1/(2(x-6)^2) ?

The answer to x+34= 1/(2(x-6)^2) is x\approx 5.88803…,x\approx 6.11164…,x\approx-33.99968…

Solve for x: x+34= 1/(2(x-6)^2)

The solution is x\approx 5.88803…,x\approx 6.11164…,x\approx-33.99968…

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x + 34 = \frac{1}{2 ( x - 6 ) ^{2}}

x \approx 5.88803 \dots, x \approx 6.11164 \dots, x \approx - 33.99968 \dots

Solution steps

x + 34 = \frac{1}{2 ( x - 6 ) ^{2}}

Multiply both sides by

2 (x - 6)^{2}

x \cdot 2 (x - 6)^{2} + 68 (x - 6)^{2} = 1

Solve

x \cdot 2 (x - 6)^{2} + 68 (x - 6)^{2} = 1 : x \approx 5.88803 \dots, x \approx 6.11164 \dots, x \approx - 33.99968 \dots

x \approx 5.88803 \dots, x \approx 6.11164 \dots, x \approx - 33.99968 \dots

Verify Solutions

Find undefined (singularity) points:

x = 6

Combine undefined points with solutions:

x \approx 5.88803 \dots, x \approx 6.11164 \dots, x \approx - 33.99968 \dots

f, f^{- 1} (x) = 6^{x}

\frac{x + 1}{x - 2} = 2

\frac{- 4}{8 - 5 n} = 13

\frac{- 3}{( k - 8 )} = \frac{5 k}{16}

x, \frac{4}{x} = 0.21

What is the answer to x+34= 1/(2(x-6)^2) ?
The answer to x+34= 1/(2(x-6)^2) is x\approx 5.88803…,x\approx 6.11164…,x\approx-33.99968…
Solve for x: x+34= 1/(2(x-6)^2)
The solution is x\approx 5.88803…,x\approx 6.11164…,x\approx-33.99968…