+0  
 
0
47
1
avatar

Solve for y: 

(√50y)+(2√18y)=2(√8y+√72y)-5

 Oct 3, 2022
 #1
avatar+1015 
+1

\(\sqrt{50y} + 2\sqrt{18y} = 2(\sqrt{8y} + \sqrt{72y}) - 5\)

\(5\sqrt{2y} + 6\sqrt{2y} = 2(2\sqrt{2y} + 6\sqrt{2y}) - 5\)

\(11\sqrt{2y} = 4\sqrt{2y} + 12\sqrt{2y} - 5\)

\(5 = 5\sqrt{2y}\)

\(1 = \sqrt{2y}\)

If you made a latex error and the y was outside the square root\(y = {\sqrt{2}\over2}\). If not, then \(y = {1\over2}\).

 Oct 3, 2022

17 Online Users