math
posted by WINSTON on .
14x^2+19x+32=18

This 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