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.

Respuesta :

Answer: The correct option is C.

Explanation:

The given expression is,

[tex]\sqrt{b+20}- \sqrt{b}=5[/tex]

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

Add a radical term [tex]\sqrt{b}[/tex] both sides.

[tex]\sqrt{b+20}=5+\sqrt{b}[/tex]

Now square both sides.

[tex](\sqrt{b+20})^2=(5+\sqrt{b})^2[/tex]

[tex]b+20=25+b+10\sqrt{b}[/tex]

[tex]b-20-25-b=10\sqrt{b}[/tex]

[tex]-5=10\sqrt{b}[/tex]

[tex]\sqrt{b} =\frac{-1}{2}[/tex]

Square both sides.

[tex]b=\frac{1}{4}[/tex]

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

Therefore, C is the correct option.

Answer:

c

Step-by-step explanation:

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