SOLUTION: I am trying to finish up an assignment and am very confused with the next two problems. For the next two problems it advices: Determine the number of real-number solutions to the e

Question 439356: I am trying to finish up an assignment and am very confused with the next two problems. For the next two problems it advices: Determine the number of real-number solutions to the equation from the given graph. Ofcourse I cannot put the graph in here but it also says 4^x2 + 1 = 4x, given the graph of y = 4x - 4^x2 -1. The next one states: x^2 + x - 11 = 0, given the graph of y = x^2 + x - 11.
I hope you can help without seeing the graphs. Thank you!
Found 2 solutions by Alan3354, robertb:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
If you can see the graphs, the # of real solutions is the # of times it intersects the x-axis.

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Use the discriminant for :
. If the discriminant is positive, then there are two real solutions.
If the discriminant is 0, then there are two identical real solutions (multiplicity 2).
If the discriminant is negative, there are no real solutions (or two distinct complex solutions).
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