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Hi I put in this: x=689/2 x^2 - 2075/2 x+751 But the result is not what i expected: Something like this: 585335001111420

The number is coordinates to a task in geocaching :-)

 Jun 10, 2017
 #1
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The link to the task: https://coord.info/GC7377Y

 Jun 10, 2017
 #2
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Solve for x:
(689 x^2)/2 - (2075 x)/2 + 751 = 0

Multiply both sides by 2/689:
x^2 - (2075 x)/689 + 1502/689 = 0

Subtract 1502/689 from both sides:
x^2 - (2075 x)/689 = -1502/689

Add 4305625/1898884 to both sides:
x^2 - (2075 x)/689 + 4305625/1898884 = 166113/1898884

Write the left hand side as a square:
(x - 2075/1378)^2 = 166113/1898884

Take the square root of both sides:
x - 2075/1378 = (3 sqrt(18457))/1378 or x - 2075/1378 = -(3 sqrt(18457))/1378

Add 2075/1378 to both sides:
x = 2075/1378 + (3 sqrt(18457))/1378 or x - 2075/1378 = -(3 sqrt(18457))/1378

Add 2075/1378 to both sides:
Answer: | x = 2075/1378 + (3 sqrt(18457))/1378      or      x = 2075/1378 - (3 sqrt(18457))/1378

                   x = +or- 1.8015744745672366

 Jun 10, 2017

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