Exercise
$x^2-x=14$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the quadratic equation x^2-x=14. Factor the polynomial x^2-x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value -1. Now, we can factor x^2+-1x+\frac{1}{4} as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. Multiply the fraction and term in - \frac{1}{2}. Multiply the fraction and term in - \frac{1}{4}.
Solve the quadratic equation x^2-x=14
Final answer to the exercise
$x=\frac{1+\sqrt{57}}{2},\:x=\frac{1-\sqrt{57}}{2}$