Use the discriminant to determine the number and type of solutions the equation has.

x2 + 8x + 12 = 0

question 8 options:

no real solution

one real solution

two rational solutions

two irrational solutions

The discriminant is the (b^2-4ac) part of the quadratic formula...in this case:

64-48=16

So there will be two real rational solutions.

The rule:

If discriminant<0, there are no real solutions (although there are two imaginary solutions)

If discriminant=0, there is only one real solution.

If discriminant>0, there are two real solutions.

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