Discriminant
A discriminant is the part of the quadratic formula in the square root, which is (b² – 4ac). The complete quadratic formula is The discrimant tells us how many solutions there are, aswell as what x means and its properties. It helps us to determine a shortened answer without going through mulyiple calculations, which only works in some situations. A positive discriminant means that the quadratic has two real number solutions. A discriminant of zero means that the quadratic has a one real number solution. A negative discriminant means that there are no solutions.
To start, lets start with x²+5x+6=0. In this case, a = 1, b = 5 and c = 6. When you plug them in the equation for finding the discriminant, it becomes 5² – 4(1)(6).
Then it becomes, 25 – 24
Then the asnwer is, 1, meaning there would be 2 answers.
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