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Step-by-step Solution

Problem to solve:

$x^2-1=99$

Learn how to solve equations problems step by step online.

$x^2=100$

Learn how to solve equations problems step by step online. Solve the equation x^2-1=99. We need to isolate the dependent variable x, we can do that by subtracting -1 from both sides of the equation. Removing the variable's exponent. As in the equation we have the sign \pm, this produces two identical equations that differ in the sign of the term 10. We write and solve both equations, one taking the positive sign, and the other taking the negative sign.

$x=10,\:x=-10$
$x^2-1=99$