Sqrt (4a + 29) = 2 sqrt (a) + 5? #solve the equations.

Question

Sqrt (4a + 29) = 2 sqrt (a) + 5? #solve the equations.

Answer 1

4a + 29 = 4 a + 20 sqrt(a) + 25   <-- squaring both sides; right side get FOILed

 

4a + 29 - 4a - 25 = 20 sqrt(a)   <-- moves everything to the left except the square root

 

4 = 20 sqrt(a)   <---- combines like terms; 4a cancels

 

4/20 = sqrt(a)  <-- solves for square root

 

1/5 = sqrt(a)

 

a = 1/25

 

check:

   LHS:  sqrt(4/25 + 29 ) = sqrt (  729/25) = 27/5 = 5.4

  RHS: 2 sqrt(1/25) + 5 = 2(1/5) + 5 = 5.5