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Square root 2x+5 = square root 3x-1

2 Answers

3 votes

Simplify to

1.414214x+5=1.732051x-1

Subtract 1.732051x from both sides

1.414214x+5-1.732051x=1.732051x-1-1.732051x

-0.317837x+5=-1

Subtract 5 from both sides

-0.317837x+5-5=-1-5

-0.317837x=-6

Divide both sides by -0.317837

0.317837x/-0.317837= -6/-0.317837

x= 18.877601

I hope that's help !

7 votes
Easy, you have,


√(2x+5) = √(3x-1)

now, it may seem tricky with the square roots, but it's not.
To get rid off the square roots, square each side.

or,


√(2x+5) ^(2) = √(3x-1) ^(2)

eliminating the square roots,

2x+5=3x-1

Now you have a really easy problem.

2x+5=3x-1
-2x -2x

5=x-1

5=x-1
+1 +1

6=x

Thus, your answer is, x=6.
answered
User Xavier D
by
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