SOLUTION: For the system of equations y = x2 + 1 and y = b, whats a value for b for which the system of equations has two solutions? Can i please have help with this?

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Question 962719: For the system of equations y = x2 + 1 and y = b, whats a value for b for which the system of equations has two solutions?

Can i please have help with this?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
the system of equations
y+=+x%5E2+%2B+1 ..............eq.1
y+=+b..............eq.2
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=>since y+=+x%5E2+%2B+1 is a parabola with y-intercept at y=1 and has two complex solutions (i and -i),
and your y+=+b is a horizontal line, then b for which the system of equations has two solutions could be any number greater than 1(if b=1, there will be only one solution)
try b=1,b=2 and b=5

+graph%28+600%2C+600%2C+-5%2C+5%2C+-5%2C+10%2C+x%5E2+%2B+1%2C1%2C2%2C5%29+
so, a value for b for which the system of equations has two solutions are: b=2,3,4,........