KhalessiN728007 KhalessiN728007
  • 03-11-2022
  • Mathematics
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YOU BE THE TEACHER Your friend solves the equation 9x2 = 36. Is your friend correct? 9x2 = 36 x = 4 x= 14 x= +2 O yes O no Explain your reasoning.

YOU BE THE TEACHER Your friend solves the equation 9x2 36 Is your friend correct 9x2 36 x 4 x 14 x 2 O yes O no Explain your reasoning class=

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EmilieY54106 EmilieY54106
  • 03-11-2022

ANSWER

Yes

EXPLANATION

Your friend is correct.

First he divided both sides by 9: 36 divided by 9 is 4

Then he did the square root, which has two results: one positive and one negative. This gives +2 and -2.

Another way to check the result is to replace it into the equation. If the equation is true, then the result is correct:

[tex]\begin{gathered} 9(2)^2=36 \\ 9\cdot4=36 \\ 36=36\text{ }\rightarrow\text{ true} \\ \\ 9(-2)^2=36 \\ 9\cdot4=36 \\ 36=36\text{ }\rightarrow\text{ true} \end{gathered}[/tex]

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