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Begin by determining a, b, and c in your equation. The standard form for a quadratic equation is
In your equation, a=1, b=3, and c=7. Evaluate
using these values for a, b, and c. So,
Important Math Fact:
(negative), then there are two imaginary-number solutions.
(positive), then there are two real-number solutions.
, then there is one real-number solution.
Your discriminant is negative, so you have two non-real (imaginary number) solutions.
If you forget this math fact, think about the quadratic formula
If the value under the square root is negative, then the solution cannot be a real number. If the value under the square root is positive, "+" or "-" after "-b" gives us two real number solutions. If the number under the square root is zero, then we just get one real-number solution, because the square root of zero is zero.