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jigglyjello

  • 3 years ago

|x+5|=3x-7 solve

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  1. allank
    • 3 years ago
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    Hint: If |a|=b then a=b a=-b

  2. allank
    • 3 years ago
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    Can you take it from there @jigglyjello ?

  3. zscdragon
    • 3 years ago
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    x+5 = 3x-7 x=6 OR x+5 = -3x+7 x=0.5

  4. Zarkon
    • 3 years ago
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    just 6

  5. jigglyjello
    • 3 years ago
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    ok thank you

  6. colorful
    • 3 years ago
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    @Zarkon why is it just 6 ?

  7. Zarkon
    • 3 years ago
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    plug in .5 into the above equation...does it work...

  8. colorful
    • 3 years ago
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    @Zarkon but what's the flaw in the logic behind just doing\[|x|=a\implies x=a\vee x=-a;~~a\ge0\]

  9. Zarkon
    • 3 years ago
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    and what happens when \(a<0\)

  10. colorful
    • 3 years ago
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    oh! I see, it is a<0 for the other soln! Hail Zarkon!

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