Final Answer
$x=-0.5+0.866025i,\:x=-0.5-0.866025i$
Got another answer? Verify it here!
Step-by-step Solution
Problem to solve:
$0=x^2+x+1$
Specify the solving method
1
Grouping terms
$-1=x^2+x$
Learn how to solve quadratic equations problems step by step online.
$-1=x^2+x$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 0=x^2+x+1. Grouping terms. 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. Grouping terms.
Final Answer
$x=-0.5+0.866025i,\:x=-0.5-0.866025i$