SOLUTION: sqrt of y + sqrt of (y+4) = 3

Algebra ->  Radicals -> SOLUTION: sqrt of y + sqrt of (y+4) = 3       Log On


   

Question 896918: sqrt of y + sqrt of (y+4) = 3
Answer by thesvw(77) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28y%29+%2B+sqrt%28y%2B4%29+=+3
square it
%28sqrt%28y%29+%2B+sqrt%28y%2B4%29%29%5E2+=+3%5E2
y+%2B2%2Asqrt%28y%28y%2B4%29%29+%2B%28y%2B4%29+=9
sqrt%28y%28y%2B4%29%29+=+%285+-+2y%29%2F2
square again
y%28y%2B4%29+=+%28%285+-+2y%29%2F2%29%5E2
4y%5E2+%2B+16y+=+25+-20y+%2B+4y%5E2
36y+=+25
y+=25%2F36