This question is pertaining to College Algebra

Question

Solve the equation : the square root of 6x + 7 - 9 = x - 7

(only 6x + 7 is under square root)

 

 

2) Working together, Sarah and Heidi can clean the garage in two hours. If they work alone, it takes Heidi 3 hours longer than it takes Sarah. How long would it take Sarah to clean the garage alone?

 

3) A hose can fill a swimming pool in 6 hours. Another hose needs 3 more hours to fill the pool than the two hoses combined. How long would it take the second hose to fill the pool?

 

Answer 1

√(6x + 7) - 9 = x - 7

 

   √(6x + 7 ) = x + 2

 

Square both sides of equation

        6x + 7 = x² + 4x + 4

 

               0 = x² - 2x -3

 

               0 = (x - 3) (x + 1)

 

       x - 3 = 0  ;   x + 1 = 0

 

           x = 3   ;        x = -1