Question

Which statement describes a process to solve√(b+20)-√b=5 ?

A.)Add a radical term to both sides and square both sides only once.
B.) Add a constant term to both sides and square both sides only once.
C.) Add a radical term to both sides and square both sides twice.
D.)Add a constant term to both sides and square both sides twice.

Answer 1

c

Step-by-step explanation:

Answer 2

Answer: The correct option is C.

Step-by-step explanation:

The given expression is,

`√(b+20)- √(b)=5`

We have to choose the correct process to solve this equation.

Add a radical term
`√(b)` both sides.

`√(b+20)=5+√(b)`

Now square both sides.

`(√(b+20))^2=(5+√(b))^2`

`b+20=25+b+10√(b)`

`b-20-25-b=10√(b)`

`-5=10√(b)`

`√(b) =(-1)/(2)`

Square both sides.

`b=(1)/(4)`

The process is Add a radical term to both sides and square both sides twice.

Therefore, C is the correct option.