SOLUTION: The Function P=3i^2-2i+450 models the power P in an electric circuit with a current i. Can the power in this circuit ever be zero? If so what is the value of i

Algebra ->  Expressions-with-variables -> SOLUTION: The Function P=3i^2-2i+450 models the power P in an electric circuit with a current i. Can the power in this circuit ever be zero? If so what is the value of i      Log On


   



Question 289987: The Function P=3i^2-2i+450 models the power P in an electric circuit with a current i. Can the power in this circuit ever be zero? If so what is the value of i
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P=3i%5E2-2i%2B450+=0
You can use the discriminant to find the number of real roots (when D>0).
+D=b%5E2-4ac+
a=3
b=-2
c=450
+D=%28-2%29%5E2-4%283%29%28450%29=-5396
Since D<0, there are no real roots, that is, no value of i which make P=0.