Solve x/2153x -23 = 90

Evaluate

\frac{x}{2153} x - 23 = 90

Multiply the terms

More Steps

\frac{x ^{2}}{2153} - 23 = 90

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

\frac{x ^{2}}{2153} = 90 + 23

Add the numbers

\frac{x ^{2}}{2153} = 113

Cross multiply

x^{2} = 2153 \times 113

Simplify the equation

x^{2} = 243289

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

x = \pm 243289

Separate the equation into 2 possible cases

x = 243289 x = - 243289

Solution

x_{1} = - 243289, x_{2} = 243289

Alternative Form

x_{1} \approx - 493.243348, x_{2} \approx 493.243348

Solve the equation