Solve 1/259^2-1/211=98h

$$\frac{ 1 }{ 2 } { 59 }^{ 2 } - \frac{ 1 }{ 2 } 11 = 98h$$

Solve for h

$$h = \frac{1735}{98} = 17\frac{69}{98} \approx 17.704081633$$

Steps for Solving Linear Equation

Calculate 59 to the power of 2 and get 3481.

$$\frac{1}{2}\times 3481-\frac{1}{2}\times 11=98h$$

Multiply \frac{1}{2} and 3481 to get \frac{3481}{2}.

$$\frac{3481}{2}-\frac{1}{2}\times 11=98h$$

Multiply \frac{1}{2} and 11 to get \frac{11}{2}.

$$\frac{3481}{2}-\frac{11}{2}=98h$$

Since \frac{3481}{2} and \frac{11}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3481-11}{2}=98h$$

Subtract 11 from 3481 to get 3470.

$$\frac{3470}{2}=98h$$

Divide 3470 by 2 to get 1735.

$$1735=98h$$

Swap sides so that all variable terms are on the left hand side.

$$98h=1735$$

Divide both sides by 98.

$$h=\frac{1735}{98}$$