Exercise
$x^2-2x=99$
Step-by-step Solution
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation x^2-2x=99. Factor the polynomial x^2-2x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value -2. Now, we can factor x^2+-2x+1 as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. We need to isolate the dependent variable x, we can do that by simultaneously subtracting -1 from both sides of the equation. Canceling terms on both sides.
Solve the quadratic equation x^2-2x=99
Final answer to the exercise
$x=11,\:x=-9$