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How to solve this for X with FOIL?
I need to solve for x to get a triangle side similarity ratio. I need help solving for x:
10/x-4 = x+10/12
I understand you have to foil there (and sadly I didn't take algebra I seriously when I in it so I don't know how to solve this). I get down to x^2+6x-40=120 and don't know the rest how to solve it for x. Could someone please show the steps for solving it.
2 Answers
- Wile E.Lv 78 years agoFavorite Answer
Parentheses, parentheses, parentheses!
10 / (x - 4) = (x + 10) / 12
10(12) = (x - 4)(x + 10)
120 = x² + 6x - 40
x² + 6x - 40 - 120 = 0
x² + 6x - 160 = 0
(x - 10)(x + 16) = 0
If the product of two factors equals zero, then one or both factors equal zero.
If x - 10 = 0,
x = 10
If x + 16 = 0,
x = - 16
Since x represents a distance,
Feasible Domain: x > 0
Since x = - 16 is not in the feasible domain,
x = 10
¯¯¯¯¯
Source(s): 2/10/13 - answerINGLv 68 years ago
Get your quadratic x^2+6x-40=120 to this form x² +6x -160 = 0
then factor: (x +16)(x -10) = 0 implying x = -16 or +10.
