Solve 1+(12/5)^2=(13/5)^2

$$1 + ( \frac { 12 } { 5 } ) ^ { 2 } = ( \frac { 13 } { 5 } ) ^ { 2 }$$

Verify

Solution Steps

Calculate \frac{12}{5} to the power of 2 and get \frac{144}{25}.

$$1+\frac{144}{25}=\left(\frac{13}{5}\right)^{2}$$

Convert 1 to fraction \frac{25}{25}.

$$\frac{25}{25}+\frac{144}{25}=\left(\frac{13}{5}\right)^{2}$$

Since \frac{25}{25} and \frac{144}{25} have the same denominator, add them by adding their numerators.

$$\frac{25+144}{25}=\left(\frac{13}{5}\right)^{2}$$

Add 25 and 144 to get 169.

$$\frac{169}{25}=\left(\frac{13}{5}\right)^{2}$$

Calculate \frac{13}{5} to the power of 2 and get \frac{169}{25}.

$$\frac{169}{25}=\frac{169}{25}$$

Compare \frac{169}{25} and \frac{169}{25}.

$$\text{true}$$