Questions: 5.5-34,325.5 x^-2=0 x=

5.5-34,325.5 x^-2=0 
x=
Transcript text: 5.5-34,325.5 x^{-2}=0 x=
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Solution

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Solution Steps

To solve the equation 5.534,325.5x2=05.5 - 34,325.5 x^{-2} = 0, we need to isolate xx. First, move the term involving xx to the other side of the equation. Then, solve for x2x^{-2} and take the reciprocal to find x2x^2. Finally, take the square root to find xx.

Step 1: Rearrange the Equation

Start with the equation: 5.534325.5x2=0 5.5 - \frac{34325.5}{x^2} = 0

Rearrange to isolate the term with xx: 34325.5x2=5.5 \frac{34325.5}{x^2} = 5.5

Step 2: Solve for x2x^2

Multiply both sides by x2x^2 and divide by 5.5: x2=34325.55.5 x^2 = \frac{34325.5}{5.5}

Calculate the right-hand side: x2=6241 x^2 = 6241

Step 3: Solve for xx

Take the square root of both sides: x=±6241 x = \pm \sqrt{6241}

Calculate the square root: x=±79 x = \pm 79

Final Answer

The solutions are: x=79 \boxed{x = 79} x=79 \boxed{x = -79}

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