rubikzcube201 rubikzcube201
  • 21-10-2019
  • Mathematics
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Explain why the equation 5|x|-7=7 has only one solution.

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evgeniylevi
evgeniylevi evgeniylevi
  • 21-10-2019

According to the condition, this equation has two solutions: -14/5 and 14/5.

Short explanation:

5|x|=14; ⇔ |x|=14/5; ⇒

[tex]\left[\begin{array}{ccc}x= -\frac{14}{5} \\x= \frac{14}{5} \\\end{array}[/tex]

PS. it's correct, if to substitute the values of 'x' into the condition/equation.

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