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0.85*13.3*250*x+600*678*(1-0.85*40/x)-1243*365=0

 Dec 19, 2016
 #1
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im sorry guest but i tried and tried all i could and found nothing. to make it easier for you, you may want to create an account and become a member.

 Dec 19, 2016
 #2
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YOU MADE THIS UP, DIDN'T YOU!!

 

Solve for x:
-453695 + 406800 (1 - 34./x) + 2826.25 x = 0

-453695 + 406800 (1 - 34./x) + 2826.25 x = -453695 + 406800 (1 - 34/x) + (11305 x)/4:
-453695 + 406800 (1 - 34/x) + (11305 x)/4 = 0

Bring -453695 + 406800 (1 - 34/x) + (11305 x)/4 together using the common denominator 4 x:
(5 (2261 x^2 - 37516 x - 11064960))/(4 x) = 0

Multiply both sides by 4/5:
(2261 x^2 - 37516 x - 11064960)/x = 0

Multiply both sides by x:
2261 x^2 - 37516 x - 11064960 = 0

Divide both sides by 2261:
x^2 - (37516 x)/2261 - 650880/133 = 0

Add 650880/133 to both sides:
x^2 - (37516 x)/2261 = 650880/133

Add 351862564/5112121 to both sides:
x^2 - (37516 x)/2261 + 351862564/5112121 = 25369737124/5112121

Write the left hand side as a square:
(x - 18758/2261)^2 = 25369737124/5112121

Take the square root of both sides:
x - 18758/2261 = (2 sqrt(6342434281))/2261 or x - 18758/2261 = -(2 sqrt(6342434281))/2261

Add 18758/2261 to both sides:
x = 18758/2261 + (2 sqrt(6342434281))/2261 or x - 18758/2261 = -(2 sqrt(6342434281))/2261

Add 18758/2261 to both sides:
Answer: |x = (2 (9379 + sqrt(6342434281)))/2261=78.74250469795344

          or  x= -(2 (sqrt(6342434281) - 9379))/2261=-62.149846582075504

 Dec 19, 2016

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