Solve (1-6)^2+(-8/7-6)^2

$$( 1 - 6 ) ^ { 2 } + ( - \frac { 8 } { 7 } - 6 ) ^ { 2 }$$

Evaluate

$$\frac{3725}{49}\approx 76.020408163$$

Solution Steps

Subtract 6 from 1 to get -5.

$$\left(-5\right)^{2}+\left(-\frac{8}{7}-6\right)^{2}$$

Calculate -5 to the power of 2 and get 25.

$$25+\left(-\frac{8}{7}-6\right)^{2}$$

Subtract 6 from -\frac{8}{7} to get -\frac{50}{7}.

$$25+\left(-\frac{50}{7}\right)^{2}$$

Calculate -\frac{50}{7} to the power of 2 and get \frac{2500}{49}.

$$25+\frac{2500}{49}$$

Add 25 and \frac{2500}{49} to get \frac{3725}{49}.

$$\frac{3725}{49}$$

Factor

$$\frac{5 ^ {2} \cdot 149}{7 ^ {2}} = 76\frac{1}{49} = 76.0204081632653$$