Exercise
$x^2+x=8$
Step-by-step Solution
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation x^2+x=8. Factor the polynomial x^2+x. Add and subtract \left(\frac{b}{2}\right)^2, where in this case b equals 1. Now we can factor x^2+x+\frac{1}{4} as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. Calculate the power \sqrt{\frac{1}{4}}. Multiply the fraction and term in - \frac{1}{4}.
Solve the quadratic equation x^2+x=8
Final answer to the exercise
$x=\frac{-1+\sqrt{33}}{2},\:x=\frac{-1-\sqrt{33}}{2}$