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

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> 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      Log On


   



Question 478940: 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.
x^2 + 6x -7 = 0

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
x^2 + 6x -7 = 0
Find the discriminant, D = b^2 - 4ac
a = 1
b = 6
c = -7
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If D > 0, 2 real solutions
If D < 0, 2 complex solutions.
If d = 0, 1 real solution of multiplicity 2 (2 real solutions that are equal)