Exercise
$x^2-10x=-13$
Step-by-step Solution
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation x^2-10x=-13. Factor the polynomial x^2-10x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value -10. Now, we can factor x^2+-10x+25 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 -25 from both sides of the equation. Canceling terms on both sides.
Solve the quadratic equation x^2-10x=-13
Final answer to the exercise
$x=5+\sqrt{12},\:x=5-\sqrt{12}$