Solve for x: ( | indicates absolute value)
| x^2 - 2x | = 3x - 6
2007-10-28 14:30:52 · 4 answers · asked by skinzzfan25 1 in Science & Mathematics ➔ Mathematics
| x^2 - 2x | = 3x - 6
x^2-2x=-(3x-6)
x^2-2x=-3x+6
x^2-2x+3x-6=0
x^2+x-6=0
(x+3)(x-2)=0
x=-3,x=2
x^2-2x=3x-6
x^2-2x-3x+6=0
x^2-5x+6=0
(x-3)(x-2)=0
x=3
x=2
2007-10-28 14:36:44 · answer #1 · answered by ptolemy862000 4 · 0⤊ 0⤋
The guy with the first response has the right idea, but x = -3 is NOT a valid answer because you'd get a negative quantity on the right side, which is impossible for an absolute value expression.
The only values of x that work in this situation are 2 and 3!
2007-10-28 14:59:40 · answer #2 · answered by The K-Factor 3 · 0⤊ 0⤋
3x-6= -x^2+2x
and
3x-6= x^2-2x
2007-10-28 14:38:42 · answer #3 · answered by cameragirl90210 2 · 0⤊ 0⤋
i dont see how this is trig, but the guy below me is right
2007-10-28 14:38:05 · answer #4 · answered by Anonymous · 0⤊ 0⤋