JAD
posted by Anonymous .
For the following equation, state the value of the discriminant and then describe the nature of the solutions.
15x² + 2x + 13 = 0
What is the value of the discriminant?

Using the conventional formula
ax^2 + bx + c for the quadratic polynomial, the discriminant is b^2 4ac.
In this case, that equals 4  (780)= 784. The discriminant is positive. There are two roots and both are real. The square root of the discriminant is 28.
The roots are (1/30)(2 +/28)
= 1 and 13/15