Solve for a:
2000 = 11.7888 a (a+0.17)
11.7888 a (a+0.17) = 7368/625 a (a+17/100):
2000 = 7368/625 a (a+17/100)
2000 = 7368/625 a (a+17/100) is equivalent to 7368/625 a (a+17/100) = 2000:
7368/625 a (a+17/100) = 2000
Multiply both sides by 625/7368:
a (a+17/100) = 156250/921
Expand out terms of the left hand side:
a^2+(17 a)/100 = 156250/921
Add 289/40000 to both sides:
a^2+(17 a)/100+289/40000 = 6250266169/36840000
Write the left hand side as a square:
(a+17/200)^2 = 6250266169/36840000
Take the square root of both sides:
a+17/200 = sqrt(6250266169/921)/200 or a+17/200 = -sqrt(6250266169/921)/200
Subtract 17/200 from both sides:
a = sqrt(6250266169/921)/200-17/200 or a+17/200 = -sqrt(6250266169/921)/200
Subtract 17/200 from both sides:
Answer: |
| a = sqrt(6250266169/921)/200-17/200 =~12.940 a = -17/200-sqrt(6250266169/921)/200= -13.110
