SOLUTION: Please help with this. Decide all values of b that will give one or more real number solutions. 5x^2 + bx + 1 = 0 Thank You!

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Please help with this. Decide all values of b that will give one or more real number solutions. 5x^2 + bx + 1 = 0 Thank You!      Log On


   



Question 41234: Please help with this.
Decide all values of b that will give one or more real number solutions.
5x^2 + bx + 1 = 0
Thank You!

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
We look at the discriminant...its value must be ≥ 0 to be real...so
b^2 - 4ac ≥ 0
b^2 - 4(5)(1) ≥ 0
b^2 - 20 ≥ 0
b^2 ≥ 20
|b| ≥ sqrt(20)
|b| ≥ 2*sqrt(5)