Solve 10^2 - (26 - x)^2 = 24^2 - x^2

Evaluate

1 0^{2} - (26 - x)^{2} = 2 4^{2} - x^{2}

Evaluate the power

100 - (26 - x)^{2} = 2 4^{2} - x^{2}

Evaluate the power

100 - (26 - x)^{2} = 576 - x^{2}

Move the expression to the left side

100 - (26 - x)^{2} - (576 - x^{2}) = 0

Subtract the terms

More Steps

- 476 - (26 - x)^{2} + x^{2} = 0

Calculate the sum or difference

More Steps

- 1152 + 52 x = 0

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

52 x = 0 + 1152

Removing 0 doesn't change the value,so remove it from the expression

52 x = 1152

Divide both sides

\frac{52 x}{52} = \frac{1152}{52}

Divide the numbers

x = \frac{1152}{52}

Solution

x = \frac{288}{13}

Alternative Form

x = 22. \dot{1} 5384 \dot{6}

Solve the equation