SOLUTION: Compute the discriminate. Then determine the number and type of solutions for the given equation 4x² -2x+6=0

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Compute the discriminate. Then determine the number and type of solutions for the given equation 4x² -2x+6=0      Log On


   

Question 288562: Compute the discriminate. Then determine the number and type of solutions for the given equation
4x² -2x+6=0
Answer by texttutoring(324) About Me  (Show Source):
You can put this solution on YOUR website!
The discriminate is the stuff under the square root:
b%5E2-4ac
In your case: a=4, b=-2, and c=6
Put these into the discriminant equation to get:
%28-2%29%5E2-4%284%29%286%29
=4-140
=-140
The discriminant is negative, which means it has no real solutions. There is a complex solution. On a graph, it would not cross the x-axis.