Question

Answer for 3-√5-n=√-4-n ?

square root applies to all values after the radical in this case

Answer 1

The value of n in the square root equation is -4

Solving equations involving square roots.

The solution to square roots equation can be determined by a step by step process. So, let's solve the equation where the square root applies to all values after the radical.

Mathematically, it can be written as:

`3 -√(5-n)=√(-4-n)`

`√(5-n)=3 - √(-4-n)`

`√(5-n)=(3 - √(-4-n))^2`

Take the square of the both sides to eliminate the square root.

`5-n =9-6√(-4-n) +(-4-n)`

Collect like terms

`5-n =5-6√(-4-n) -n`

Set the square root terms to zero

`6√(-4-n)=0`

Divide both sides by 6

`√(-4-n)=0`

Square both sides by 6

-4 - n = 0

n = -4