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NatalieLove Group Title

1. Solve 5x2 = –45x 1. Solve 5x2 = –45x @Mathematics

  • 2 years ago
  • 2 years ago

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  1. steveh1014 Group Title
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    x^2 = -45x / 5 x = -45/5 x=-9

    • 2 years ago
  2. joemath314159 Group Title
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    when you divide by x, you lose a solution. The original equation is quadratic, so there are two solutions. One of them can be obtained in the manner above, but you lost the other. So solve like this instead, so you get both:\[5x^2=-45x\iff5x^2+45x=0\iff 5x(x+9)=0\iff x=0,x=-9 \]

    • 2 years ago
  3. NatalieLove Group Title
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    either is good answer

    • 2 years ago
  4. joemath314159 Group Title
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    right, both will solve the problem. sometimes the question will want both solutions though. just a heads up :)

    • 2 years ago
  5. NatalieLove Group Title
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    just in case do i add x = 0 to the answer ?

    • 2 years ago
  6. steveh1014 Group Title
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    they are both viable solutions so supplying one or the other wont make you wrong

    • 2 years ago
  7. NatalieLove Group Title
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    ok

    • 2 years ago
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