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December 18, 2014

December 18, 2014

Posted by **WINSTON** on Monday, March 10, 2014 at 11:18pm.

- math -
**herp_derp**, Monday, March 10, 2014 at 11:35pmThis requires some Alg II...

Initial Problem...

14x^2 + 19x + 32 = 18

Move "C term" to the right.

14x^2 + 19x = -14

Divide both sides by 14.

x^2 + 19x/14 = -1

Complete the square.

x^2 + 19x/14 + 361/784 = -1 + 361/784

Simplify and factor...

(x + 19/28)^2 = -423/784

Square root both sides.

x + 19/28 = ±i√(423/784)

Rationalize right side.

x + 19/28 = (±3i√47)/28

Isolate x.

x = -19/28 ±3i√(47)/28

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