SOLUTION: Find the value of the discriminant for 7x^2+5x+1=0. Then describe the number and type of roots for the equation.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find the value of the discriminant for 7x^2+5x+1=0. Then describe the number and type of roots for the equation.       Log On


   

Question 715456: Find the value of the discriminant for 7x^2+5x+1=0. Then describe the number and type of roots for the equation.
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
The discriminant, in general, is b%5E2-4ac. If the value of the discriminant is...
  • positive, then there are two distinct real roots
  • negative, then there to two distinct complex roots
  • zero, then there is one (double) real root
The discriminant for your equation is %285%29%5E2-4%287%29%281%29+=+25+-+4%287%29%281%29+=+25+-+28+=+-3. So there are two complex roots.