Question

Please help

Solve s=4+sqrt(s+2)

Answer 1

see corrected answer below

Answer 2

Option (2) is correct.

s = 7 satisfy the given equation
`s=4+√(s+2)`.

Explanation:

Consider the given equation,

`s=4+√(s+2)`

We have to solve for the value of s so that it satisfy the given equation

We first check for s = 2,

LHS = s = 2

RHS =
`4+√(s+2)`

Put s = 2 , we get ,

`s=4+√(2+2)=4+√(4)=4+2=6`

we get LHS = 2 and RHS = 6 which are not equal.

Thus, s = 2 does not satisy the given equation.

We now check for s = 7

LHS = s = 7

RHS =
`4+√(s+2)`

Put s = 7 , we get ,

`s=4+√(7+2)=4+√(9)=4+3=7`

we get LHS = 7 and RHS = 7 which are equal.

Thus, s = 7 satisfy the given equation
`s=4+√(s+2)`.