SOLUTION: {{{sqrt(2r-6)=sqrt(3+r)}}}

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Question 1016073: sqrt%282r-6%29=sqrt%283%2Br%29
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
sqrt%282r-6%29 = sqrt%283%2Br%29.

Square both side. You will get

2r - 6 = 3 + r.

Simplify:

r = 3 + 6 = 9.

Check the solution:

Left side: sqrt%282r-6%29 = sqrt%282%2A9-6%29 = sqrt%2812%29.
Right side: sqrt%283%2Br%29 = sqrt%283%2B9%29 = sqrt%2812%29.

Answer. r = 9.