Answered

Maligayang pagdating sa IDNStudy.com, ang iyong platform para sa lahat ng iyong katanungan! Sumali sa aming interactive na platform ng tanong at sagot para sa mabilis at eksaktong tugon mula sa mga propesyonal sa iba't ibang larangan.

Solve the value of a [tex]\large \tt {\sqrt{5a+1}}[/tex]  [tex]\large \tt {+2 = 6}[/tex] ​

Sagot :

ZhylixPhairaidn

Answer:

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

Step-by-step explanation:

  • [tex]\large \tt {\sqrt{5a\: + \: 1}}[/tex]  [tex]\large \tt {+2 \: = 6}[/tex]

  • [tex]\large \tt {\sqrt{5a \: + \: 1}}[/tex]  [tex]\large \tt {= 6 \: - 2}[/tex]

  • ([tex]\large \tt {\sqrt{5a \: + \: 1}}[/tex])  [tex]\large \tt {^2 \: = 4^2}[/tex]

  • [tex]\large \tt {5a \: + \: 1 = 16}[/tex]

  • [tex]\large \tt {5a \: = 16 \: - \:1}[/tex]

  • [tex]\large \tt {5a \: = 15}[/tex]

  • [tex]\large \tt \dfrac{5a}{5}[/tex] = [tex]\large \tt \dfrac{15}{5}[/tex]

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

[tex]\: [/tex]

Checking:

Substitute the value of a in the equation

  • [tex]\large \tt {\sqrt{5a\: + \: 1}}[/tex]  [tex]\large \tt {+2 \: = 6}[/tex]

  • [tex]\large \tt {\sqrt{5 \: ⋅ \: 3 \: + \: 1}}[/tex] [tex]\large \tt {+2 \: = 6}[/tex]

  • [tex]\large \tt {\sqrt{15 \: + \: 1}}[/tex] [tex]\large \tt {+2 \: = 6}[/tex]

  • [tex]\large \tt {\sqrt{16}}[/tex] [tex]\large \tt {+ \: 2 \: = 6}[/tex]

  • [tex]\large \tt {4 \: + \: 2 \: = 6}[/tex]

  • [tex]\large \tt \underline{6 \: = 6}[/tex]

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