Solve 25 ^ 2 = x ^ 2 35 - x ^ 2

Evaluate

2 5^{2} = x^{2} \times 35 - x^{2}

Simplify

More Steps

2 5^{2} = 34 x^{2}

Swap the sides

34 x^{2} = 2 5^{2}

Add or subtract both sides

34 x^{2} = 625

Divide both sides

\frac{34 x ^{2}}{34} = \frac{625}{34}

Divide the numbers

x^{2} = \frac{625}{34}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm \frac{625}{34}

Simplify the expression

x = \pm \frac{25 34}{34}

Separate the equation into 2 possible cases

x = \frac{25 34}{34} x = - \frac{25 34}{34}

Solution

x_{1} = - \frac{25 34}{34}, x_{2} = \frac{25 34}{34}

Alternative Form

x_{1} \approx - 4.287465, x_{2} \approx 4.287465

Solve the quadratic equation