Exercise
$x^2-12x=85$
Step-by-step Solution
Learn how to solve special products problems step by step online. Solve the quadratic equation x^2-12x=85. Factor the polynomial x^2-12x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value -12. Now, we can factor x^2+-12x+36 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 -36 from both sides of the equation. Canceling terms on both sides.
Solve the quadratic equation x^2-12x=85
Final answer to the exercise
$x=17,\:x=-5$