Answer :
Step-by-step explanation:
To solve the equation \( \frac{\sqrt{2.25}}{x} = \frac{\sqrt{65.61}}{x} \), we can simplify it as follows:
1. **Simplify the square roots:**
\[
\sqrt{2.25} = 1.5
\]
\[
\sqrt{65.61} = 8.1
\]
2. **Substitute the simplified square roots into the equation:**
\[
\frac{1.5}{x} = \frac{8.1}{x}
\]
3. **Since both sides have \( \frac{1}{x} \), we can simplify by multiplying both sides by \( x \) (assuming \( x \neq 0 \)):**
\[
1.5 = 8.1
\]
4. **Since \( 1.5 \neq 8.1 \), the only way this equation can hold true is if the denominator \( x \) is not defined or if there was a mistake in the setup.**
Therefore, there is no value of \( x \) that satisfies the equation \( \frac{\sqrt{2.25}}{x} = \frac{\sqrt{65.61}}{x} \) because \( 1.5 \neq 8.1 \). Hence, the equation has no solution.