SOLUTION: In this question I need to use the “discriminant” to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. I need help please!

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Question 144829: In this question I need to use the “discriminant” to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. I need help please!!
4. m2 + m + 1 = 0

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the discriminant formula


From we can see that , , and


Plug in , , and


Square to get


Multiply to get


Subtract from to get


Since the discriminant is less than zero, this means that there are two complex solutions

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