Question 1025971
No real solutions. 
You can graph it to see that it doesn't cross the x-axis. 
You can calculate the discriminant and see that it's less than zero.
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{{{y=x^2+x+1}}}
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*[illustration bv1.JPG].
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{{{b^2-4ac=(1)^2-4(1)(1)=-3<0}}}