SOLUTION: Solve for w, where w is a real number. {{{ sqrt (2w + 9) = sqrt (6w - 14) }}} If there is more than one solution, separate with commas.

Algebra ->  Radicals -> SOLUTION: Solve for w, where w is a real number. {{{ sqrt (2w + 9) = sqrt (6w - 14) }}} If there is more than one solution, separate with commas.      Log On


   

Question 392095: Solve for w, where w is a real number.
+sqrt+%282w+%2B+9%29+=+sqrt+%286w+-+14%29+
If there is more than one solution, separate with commas.
Found 2 solutions by richard1234, mananth:
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Square both sides to clear the square roots:

2w + 9 = 6w - 14

9 = 4w - 14

23 = 4w

w = 23/4

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
+sqrt+%282w+%2B+9%29+=+sqrt+%286w+-+14%29+
If there is more than one solution, separate with commas.
..
+sqrt+%282w+%2B+9%29+=+sqrt+%286w+-+14%29+
take the square of the equation
2w+9 = 6w-14
2w-6w=-14-9
-4w=-23
/-4
highlight%28w=+23%2F4%29%29
...
m.ananth@hotmail.ca