SOLUTION: The value of the discriminant is ________? 27x� = 18x � 3 How many solutions are there? Are they a) rational? b) Irrational c) Imaginary solutions?

Question 241727: The value of the discriminant is ________?
27x� = 18x � 3
How many solutions are there?
Are they a) rational?
b) Irrational
c) Imaginary solutions?

Answer by JimboP1977(311) (Show Source): You can put this solution on YOUR website!
The discriminant is the b^2-4ac part of the quadratic formula

Rearranging the equation to standard ax^2+bx+c=0 form gives:
27x^2-18x+3 = 0
So the discrimant is
This tells us that there is only one root ie the graph only crosses the x axis once.
The graph confirms this
The type of solution is determined by . If this is a whole number then the solution is said to be rational. The square root of zero is zero. This means that the solution is rational because zero can be represented by a fraction a/b where b is not equal to zero.
Does this help?
Any questions?

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