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

Solution Steps

To solve the equation \(5.5 - 34,325.5 x^{-2} = 0\), we need to isolate \(x\). First, move the term involving \(x\) to the other side of the equation. Then, solve for \(x^{-2}\) and take the reciprocal to find \(x^2\). Finally, take the square root to find \(x\).

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

Rearrange to isolate the term with \(x\): \[ \frac{34325.5}{x^2} = 5.5 \]

Multiply both sides by \(x^2\) and divide by 5.5: \[ x^2 = \frac{34325.5}{5.5} \]

Calculate the right-hand side: \[ x^2 = 6241 \]

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

Calculate the square root: \[ x = \pm 79 \]

Final Answer