9:x::x:81

asked by guest
on Jan 27, 2025 at 6:45 am



You asked:

Solve \(9 : x=x : 81\) for the variable \(x\).

MathBot Answer:

$$\begin{aligned}x &= -27\\x &= 27\end{aligned}$$

Express both ratios as fractions. \[\frac{9}{x} = \frac{x}{81}\]

Cross-multiply and solve for the unknown. $$\begin{aligned}\frac{9}{x} &= \frac{x}{81} \\ 729 &= x^{2} \\ x = -27&,\, x = 27 \end{aligned}$$

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