What do u want me to do?
They are in Fraction form
Answer:
n = (1/2)(-1 ± i√2)
Step-by-step explanation:
Among the several ways in which quadratic equations can be solved is the quadratic formula. Putting to use the coefficients {12, 12, 9}, we obtain the discriminant, b^2 - 4ac: 12^2 - 4(12)(9) = 144 - 432 = -288. The negative sign of this discriminant tells us that the quadratic has two unequal, complex roots. These roots are:
-b ± √(discriminant)
n = ---------------------------------
2a
Here we have:
-12 ± √(-288) -12 ± i√2√144 -12 ± i12√2
n = ---------------------- = ------------------------ = --------------------
2(12) 24 24
or:
n = (1/2)(-1 ± i√2)
9514 1404 393
Answer:
N = 5; only one rate is possible
Step-by-step explanation:
The values of the sets of chips are ...
12 +9N +8N^2 +4N^3
and
2 +N +N^3 +N^4
We want to find N such that the difference in value is zero:
N^4 -3N^3 -8N^2 -8N -10 = 0
A graphing calculator can show us the roots. There is only one positive real root to this equation: N = 5.
The exchange rate N is 5. Only one rate is possible.
If n is the first integer, then n+2 is the second one. The equation for the sum can be written as
n + (n+2) = 24 . . . . . . this equation can be used to solve the problem
2n = 22 . . . . . . . . . . . simplify, subtract 2
n = 11
The integers are 11 and 13.
_____
I like to solve problems like this by looking at the average of the integers. Here, it is 24/2 = 12. The consecutive odd integers whose average is 12 are 11 and 13.
