b5kennedy b5kennedy
  • 08-08-2018
  • Mathematics
contestada

Solve for x.



What is the root? 3*sqrt(x) + 1 = 7 If there is no root, choose none.

4
7
7 1/9
none

Respuesta :

MarkV
MarkV MarkV
  • 08-08-2018
Hi there!

[tex]3 \sqrt{x} + 1 = 7[/tex]
Let's solve this equation step by step! In order to find the solution, we must get our x isolated.

First subtract 1.
[tex]3 \sqrt{x} = 6[/tex]

Now divide both sides by 3.
[tex] \sqrt{x} = 2[/tex]

And finally square both sides.
[tex]( \sqrt{x} ) {}^{2} = 2 {}^{2} \\ x = 4[/tex]

Check solution
[tex]3 \sqrt{4} + 1 = 3 \times 2 + 1 = 6 + 1 = 7[/tex]

This makes the original eqiation true.
Hence, our answer is x = 4.

~ Hope this helps you!
Answer Link

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