Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.
x2 = 5x + 6
Two different imaginary solutions
Two different rational solutions
Two different irrational solutions
Exactly one rational solution

Question

Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.
x2 = 5x + 6
       Two different imaginary solutions
       Two different rational solutions
       Two different irrational solutions
       Exactly one rational solution

anonymous · Answer

The discriminant is:
b^2-4ac

Now, what are:
a=?
b=?
c=?

Do you know how to do this ?

anonymous · Answer

you first need to write the equation in this form:

ax^2+bx+c=0

chaise · Answer

a = 1
b = -5
c = -6

b^2-4ac
= 25-4x1x-6
= 49

The equation has two REAL anwers.

anonymous · Answer

Two different imaginary solutions
       Two different rational solutions
       Two different irrational solutions
       Exactly one rational solution       which of of these are correct?

anonymous · Answer

The discriminant = 49 which is a perfect square, so:
Two different rational solutions

anonymous · Answer

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