Find all real solutions of the equation. Find exact solutions when possible, approximate solutions otherwise

Question

The square root of 3y+1-1= the square root of y+4 

Answer 1

Jackie:

 

√ (3y+1) = √(y + 4).

 

Square both sides.

 

(3y+1) = ( y + 4)

 

2y = 3

 

y = 3/2 = 1.5

 

Check that 3y+1 = y + 4, so there square-roots are also equal.

 

Dr. G.