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Solve [tex]\large \tt {\sqrt{x \: + \: 2=}}[/tex] [tex]\large \tt{3}[/tex] ​

Sagot :

Answer:

[tex]\large \tt {x \: = \: 7}[/tex]

Step-by-step explanation:

  • [tex]\large \tt {\sqrt{x \: + \: 2=}}[/tex] [tex]\large \tt{3}[/tex]

  • ([tex]\large \tt {\sqrt{x \: + \: 2}}[/tex]) [tex]\large \tt{^2 \: = \: 3^2}[/tex]

  • [tex]\large \tt{x \: + \: 2 \: = \:9}[/tex]

  • [tex]\large \tt{x \: = \: 9 \: - \: 2}[/tex]

  • [tex]\large \tt \purple{x \: = \: 7}[/tex]

[tex]\: [/tex]

Checking:

Substitute the value of x in the equation.

  • [tex]\large \tt {\sqrt{x \: + \: 2=}}[/tex] [tex]\large \tt{3}[/tex]

  • [tex]\large \tt {\sqrt{7 \: + \: 2=}}[/tex] [tex]\large \tt{3}[/tex]

  • [tex]\large \tt {\sqrt{9 \: }}[/tex] [tex]\large \tt{= \: 3}[/tex]

  • [tex]\large \tt \underline{3 \: = \:3}[/tex]

Therefore, the solution or the value of the variable is acceptable.