Solve x^2-(11-x)^2=77

Evaluate

x^{2} - (11 - x)^{2} = 77

Expand the expression

x^{2} - 121 + 22 x - x^{2} = 77

Calculate the sum or difference

More Steps

- 121 + 22 x = 77

Move the constant to the right-hand side and change its sign

22 x = 77 + 121

Add the numbers

22 x = 198

Divide both sides

\frac{22 x}{22} = \frac{198}{22}

Divide the numbers

x = \frac{198}{22}

Solution

More Steps

x = 9

Solve the equation