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-1/3 x -12/13 = + 4/13
The question seems to be saying: 3X + X/4 = 12 That can be worked as follows: x/4 = 12 - 3x x = (12-3x) * 4 x = 48 - 12X x + 12x = 48 13 x = 48 x=48/13 To evaluate: 3 * 48/13 = 144/13 (48/13) / 4 = 12/13 At this point you could divide it out, or continue to work in fractions. 144/13 + 12/13 = 12 (Simplify or divide out the fractions if you wish) 11-1/13 +12/13 = 12
x2+ 2x = 12 (complete the square) x^2 + 2x + 1 = 12 + 1 (x + 1)^2 = 13 (square root of both sides) x + 1 = ±√13 (subtract 1 to both sides) x = ±√13 - 1 x = √13 - 1 or x = -√13 - 1 x= 2.6 or -4.6
(13 x 12 x 11 x 10)/(4 x 3 x 2 x 1) = 715 of them
The factor pairs of 12 are 1 x 12, 2 x 6, and 3 x 4.