Solve 1/25.9^2-1/21.1=9.8h

$$\frac{ 1 }{ 2 } { 5.9 }^{ 2 } - \frac{ 1 }{ 2 } 1.1 = 9.8h$$

Solve for h

$$h = \frac{3371}{1960} = 1\frac{1411}{1960} \approx 1.719897959$$

Steps for Solving Linear Equation

Calculate 5.9 to the power of 2 and get 34.81.

$$\frac{1}{2}\times 34.81-\frac{1}{2}\times 1.1=9.8h$$

Convert decimal number 34.81 to fraction \frac{3481}{100}.

$$\frac{1}{2}\times \frac{3481}{100}-\frac{1}{2}\times 1.1=9.8h$$

Multiply \frac{1}{2} times \frac{3481}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 3481}{2\times 100}-\frac{1}{2}\times 1.1=9.8h$$

Do the multiplications in the fraction \frac{1\times 3481}{2\times 100}.

$$\frac{3481}{200}-\frac{1}{2}\times 1.1=9.8h$$

Convert decimal number 1.1 to fraction \frac{11}{10}.

$$\frac{3481}{200}-\frac{1}{2}\times \frac{11}{10}=9.8h$$

Multiply \frac{1}{2} times \frac{11}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3481}{200}-\frac{1\times 11}{2\times 10}=9.8h$$

Do the multiplications in the fraction \frac{1\times 11}{2\times 10}.

$$\frac{3481}{200}-\frac{11}{20}=9.8h$$

Least common multiple of 200 and 20 is 200. Convert \frac{3481}{200} and \frac{11}{20} to fractions with denominator 200.

$$\frac{3481}{200}-\frac{110}{200}=9.8h$$

Since \frac{3481}{200} and \frac{110}{200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3481-110}{200}=9.8h$$

Subtract 110 from 3481 to get 3371.

$$\frac{3371}{200}=9.8h$$

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

$$9.8h=\frac{3371}{200}$$

Divide both sides by 9.8.

$$h=\frac{\frac{3371}{200}}{9.8}$$

Express \frac{\frac{3371}{200}}{9.8} as a single fraction.

$$h=\frac{3371}{200\times 9.8}$$

Multiply 200 and 9.8 to get 1960.

$$h=\frac{3371}{1960}$$