SOLUTION: Determine the nature roots of the following without solving the equation 1. x2 + 3x - 9 = 0 2. x2 - 35 = 2x

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Determine the nature roots of the following without solving the equation 1. x2 + 3x - 9 = 0 2. x2 - 35 = 2x      Log On


   

Question 8036: Determine the nature roots of the following without solving the equation
1. x2 + 3x - 9 = 0
2. x2 - 35 = 2x
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
write them as a quadratic, like ax%5E2+%2B+bx+%2B+c+=+0.

Then work out b%5E2+-+4ac.

If b%5E2+-+4ac > 0 --> 2 real roots
If b%5E2+-+4ac = 0 --> 1 real root
If b%5E2+-+4ac < 0 --> 0 real roots... enter the realm of Complex numbers.

jon.