Solve 5(x 10)^(2)-24=26

Evaluate

5 (x \times 10)^{2} - 24 = 26

Simplify

More Steps

500 x^{2} - 24 = 26

Add or subtract both sides

500 x^{2} = 50

Divide both sides

\frac{500 x ^{2}}{500} = \frac{50}{500}

Divide the numbers

x^{2} = \frac{1}{10}

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

x = \pm \frac{1}{10}

Simplify the expression

x = \pm \frac{10}{10}

Separate the equation into 2 possible cases

x = \frac{10}{10} x = - \frac{10}{10}

Solution

x_{1} = - \frac{10}{10}, x_{2} = \frac{10}{10}

Alternative Form

x_{1} \approx - 0.316228, x_{2} \approx 0.316228

Solve the quadratic equation