Respuesta :
Easy, you have,
[tex] \sqrt{2x+5} = \sqrt{3x-1} [/tex]
now, it may seem tricky with the square roots, but it's not.
To get rid off the square roots, square each side.
or,
[tex] \sqrt{2x+5} ^{2} = \sqrt{3x-1} ^{2} [/tex]
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.
[tex] \sqrt{2x+5} = \sqrt{3x-1} [/tex]
now, it may seem tricky with the square roots, but it's not.
To get rid off the square roots, square each side.
or,
[tex] \sqrt{2x+5} ^{2} = \sqrt{3x-1} ^{2} [/tex]
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.
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 !