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

Answer: The correct option is C.

Explanation:

The given expression is,

$\sqrt{b+20}- \sqrt{b}=5$

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

Add a radical term $\sqrt{b}$ both sides.

$\sqrt{b+20}=5+\sqrt{b}$

Now square both sides.

$(\sqrt{b+20})^2=(5+\sqrt{b})^2$

$b+20=25+b+10\sqrt{b}$

$b-20-25-b=10\sqrt{b}$

$-5=10\sqrt{b}$

$\sqrt{b} =\frac{-1}{2}$

Square both sides.

$b=\frac{1}{4}$

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

Therefore, C is the correct option.

Answer 2

Answer:

c

Step-by-step explanation: