Solve the equation.
-$$\frac { 9 } { x } - \frac { x } { 81 } = 0$$

Question

Quizplus · Accepted Answer

To solve the equation $\frac{9}{x} - \frac{x}{81} = 0$, we can find a common denominator and set the equation to zero. Multiplying both sides by $x \cdot 81$ to eliminate the fractions gives $9 \cdot 81 - x^2 = 0$. Simplifying, we get $729 - x^2 = 0$, which leads to $x^2 = 729$. Taking the square root of both sides gives $x = \pm 27$, so both $-27$ and $27$ are solutions.

Solve the Equation 9x−x81=0\frac { 9 } { x } - \frac { x } { 81 } = 0x9​−81x​=0

Solve the Equation $\frac { 9 } { x } - \frac { x } { 81 } = 0$