SOLUTION: Use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; ju

Question 648818: Use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions. Can someone help with these 3 questions please?
1. 2x2 + 5x + 5 = 0
2 3z2 + z - 1 = 0
3 m2 + m + 1 = 0

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The discriminant is the part of the quadratic formula that is inside the square root. That would be:

1.

In this case, comes to:

........
No Real Solutions-it has two imaginary solutions (reason: negative discriminant
)

2
In this case, comes to:

.......
Answer: Two Real Irrational Solutions (reason: is positive, but not a perfect square)

3

In this case, comes to:

.......
No Real Solutions-it has two imaginary solutions (reason: negative discriminant
)

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