algebra_check.docx I think it no solution
Please note that if I square both sides of your irrational equation, I get:
4 w + 13 = 6w + 7
2 w = 6
w = 3
Please note that w=3 is an acceptable solution, since both radicals are positive:
4 w + 13 = 12 + 13 = 25 >0
6 w + 7= 18 + 7 = 25 >0
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