SOLUTION: Determine the nature of the solutions of the equation x^2-x+7=0 One real? Two non-real? Two real?

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Question 176177: Determine the nature of the solutions of the equation
x^2-x+7=0
One real?
Two non-real?
Two real?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
ax%5E2%2Bbx%2Bc general form
:
D=Discriminant is b%5E2-4ac
if D>0 then the equation has 2 real solutions
if D<0 then the equation has 1 real solution.
if D=0 then the equation has 2 conjugate imaginary solutions.
:
(-1)2-4(1)(7)=-30
:
so this has 2 conjugate imaginary solutions