SOLUTION: use the discriminant to determine the number of real roots of each equation and then solve each equation using the quadratic formula. 9s^2 + 2 = 12s

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: use the discriminant to determine the number of real roots of each equation and then solve each equation using the quadratic formula. 9s^2 + 2 = 12s      Log On


   

Question 934059: use the discriminant to determine the number
of real roots of each equation and then solve each equation using
the quadratic formula.

9s^2 + 2 = 12s
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Put into general form for ease of the formula.
9x%5E2%2B2-12s=12s-12s
9x%5E2-12s%2B2=0

Corresponding to ax%5E2%2Bbx%2Bc=0,
discriminant is b%5E2-4ac.

Yours is %28-12%29%5E2-4%2A9%2A2.
What is the value? What is the SIGN?


IF This,__________WHAT TYPE AND AMOUNT OF ROOTS
POSITIVE__________Two Real Roots
ZERO______________One Real Root
NEGATIVE__________Two Complex Roots with imaginary component