SOLUTION: Without calculating the roots, determine the number of roots of 4x squared-x+9

Algebra ->  Finance -> SOLUTION: Without calculating the roots, determine the number of roots of 4x squared-x+9      Log On


   

Question 1117111: Without calculating the roots, determine the number of roots of 4x squared-x+9
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
.
Answer.   No real roots.


Solution 

    Discriminant  d = b^2 - 4ac = (-1)^2 - 4*4*9 = 1 - 4*4*9 is negative,


    which means that there are no real roots (both roots are complex numbers).

Solved.



Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Without calculating the roots, determine the number of roots of 4x squared-x+9
-------------
It's a quadratic, 2nd order.
All quadratics have 2 roots.