SOLUTION: {{{ (24-sqrt(400+16x))/8 = 3-(1/2)(sqrt(25+x)) }}} i need a step by step solution with some explanation please thank you!

Algebra ->  Exponents -> SOLUTION: {{{ (24-sqrt(400+16x))/8 = 3-(1/2)(sqrt(25+x)) }}} i need a step by step solution with some explanation please thank you!      Log On


   

Question 852537: +%2824-sqrt%28400%2B16x%29%29%2F8+=+3-%281%2F2%29%28sqrt%2825%2Bx%29%29+
i need a step by step solution with some explanation please
thank you!
Found 2 solutions by Alan3354, richwmiller:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
+%2824-sqrt%28400%2B16x%29%29%2F8+=+3-%281%2F2%29%28sqrt%2825%2Bx%29%29+
+3+-sqrt%28400%2B16x%29%2F8+=+3-%281%2F2%29%28sqrt%2825%2Bx%29%29+
-sqrt%28400%2B16x%29%2F8+=+sqrt%2825%2Bx%29%2F2+
-sqrt%28400%2B16x%29+=+4%2Asqrt%2825%2Bx%29+
400%2B16x+=+16%2A%2825%2Bx%29+
400 + 16x = 400 + 16x

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
24/8=3
sqrt(16x+400)=
sqrt(16*(x+25))=
4sqrt(x+25)
3-1/8 sqrt(16x+400)
4/8=1/2
3-sqrt(x+25)/2