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Solve for x: √x-13=2 The solution is

2 Answers

3 votes

Answer:

x=225

Explanation:

\sqrt{x} + (-13 + 13) = 2 + 13

\sqrt{x} = 15

√x-13=2

x=225

User Drobert
by
6.6k points
3 votes

If you meant to write...


√(x - 13) = 2

Then the following is the answer:

To solve this you must get rid of the square root. The opposite of square root is square. You must square both sides since what you do to one side you must do to the other...

(
√(x-13) )^(2) =
2^(2)

x - 13 = 4

Finish completely isolating x. To do this first add 13 to both sides (what you do on one side you must do to the other). Since 13 is being subtracted, addition (the opposite of subtraction) will cancel it out (make it zero) from the left side and bring it over to the right side.

x + (-13 + 13) = 4 + 13

x + 0 = 17

x = 17

If you meant to write...


√(x) - 13 = 2

Then the following is the answer:

To isolate
√(x). To do this first add 13 to both sides (what you do on one side you must do to the other). Since 13 is being subtracted, addition (the opposite of subtraction) will cancel it out (make it zero) from the left side and bring it over to the right side.


√(x) + (-13 + 13) = 2 + 13


√(x) = 15

To completely isolate x you must get rid of the square root. The opposite of square root is square. You must square both sides since what you do to one side you must do to the other...


(√(x))^(2) = 15^(2)

x = 225

Hope this helped!

~Just a girl in love with Shawn Mendes

User Arno Chauveau
by
5.7k points