SOLUTION: Find b2 – 4ac and the number of real solutions to each equation. 42. 9m2 + 16 = 24m

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Find b2 – 4ac and the number of real solutions to each equation. 42. 9m2 + 16 = 24m       Log On


   

Question 171776: Find b2 – 4ac and the number of real solutions to each equation.
42. 9m2 + 16 = 24m

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
9m^2 + 16 = 24m
First, move everything to one side of the equation:
9m^2 - 24m + 16 = 0
.
The coefficients are then:
a = 9
b = -24
c = 16
.
The "discriminant" is then:
b^2 – 4ac
stuffing in our values:
(-24)^2 – 4(9)(16)
576 - 576
0
.
Since the discriminant = 0
there is only "one real solution".