anonymous
  • anonymous
how to determine whether an equation is always, sometimes , or never true?
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Given some equation, if you can find a single solution, then the equation is sometimes true. "Sometimes" true because it's only true for this one solution. For example, \(x+2=2\) is sometimes true, since it's only true for \(x=0\). If, when you try to solve, you end up with an identity, like \(1=1\) or \(0=0\), then the equation is always true. For example, \((x-2)^2=x^2-4x+4\): \[\begin{align*}(x-2)^2&=x^2-4x+4\\ x^2-4x+4&=x^2-4x+4\\ 0=0\end{align*}\] So no matter what you plug in for \(x\), you end up with \(0=0\), which means the equation is always true. An equation is never true if you end up with something that's, well, not true. For example, \(x+2=x+3\) gives you \(2=3\), which is not true.
anonymous
  • anonymous
THANK YOU !!!!
anonymous
  • anonymous
You're welcome!

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