Solve 9=2/5sqrt{9}+5

$$9 = \frac { 2 } { 5 } \sqrt { 9 } + 5$$

Verify

Solution Steps

Calculate the square root of 9 and get 3.

$$9=\frac{2}{5}\times 3+5$$

Express \frac{2}{5}\times 3 as a single fraction.

$$9=\frac{2\times 3}{5}+5$$

Multiply 2 and 3 to get 6.

$$9=\frac{6}{5}+5$$

Convert 5 to fraction \frac{25}{5}.

$$9=\frac{6}{5}+\frac{25}{5}$$

Since \frac{6}{5} and \frac{25}{5} have the same denominator, add them by adding their numerators.

$$9=\frac{6+25}{5}$$

Add 6 and 25 to get 31.

$$9=\frac{31}{5}$$

Convert 9 to fraction \frac{45}{5}.

$$\frac{45}{5}=\frac{31}{5}$$

Compare \frac{45}{5} and \frac{31}{5}.

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