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Solve the equation above: Round to the nearest whole number. X does NOT equal zero.

 

 Dec 16, 2019
 #1
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Solve for x:
2 x + 0.353 = x^2 + 6/17

2 x + 0.353 = 2 x + 353/1000:
2 x + 353/1000 = x^2 + 6/17

Subtract x^2 + 6/17 from both sides:
-x^2 + 2 x + 1/17000 = 0

Multiply both sides by -1:
x^2 - 2 x - 1/17000 = 0

Add 1/17000 to both sides:
x^2 - 2 x = 1/17000

Add 1 to both sides:
x^2 - 2 x + 1 = 17001/17000

Write the left hand side as a square:
(x - 1)^2 = 17001/17000

Take the square root of both sides:
x - 1 = (3 sqrt(1889/170))/10 or x - 1 = -(3 sqrt(1889/170))/10

Add 1 to both sides:
x = 1 + (3 sqrt(1889/170))/10 or x - 1 = -(3 sqrt(1889/170))/10

Add 1 to both sides:

x = 1 + (3 sqrt(1889/170))/10    or      x = 1 - (3 sqrt(1889/170))/10

x = 2                                                               x =x≈-0.000029411

 Dec 16, 2019

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