Question

Solve the equation the square root of the quantity x + 4 - 3 equals 1 for the variable. Show each step of your solution process.

Answer 1

is your equation like this?
\[\sqrt {x + 4} - 3 = 1\]

Answer 2

yes

Answer 3

since we have this square root \(\sqrt {x + 4} \), then we have to request that the radical \(x+4\) has to be greater or equal than zero:
\[x + 4 \geqslant 0\]

Answer 4

since the square root of negative numbers doesn't exists

Answer 5

okay thanks

Answer 6

solving that inequality we have:
\[x \geqslant - 4\]
which means that we can accept, as solutions, only those quantities which are greater or equal to -4

Answer 7

does the answer come out to be x=12

Answer 8

got one more question

Answer 9

yes! since we have to add 3 to both sides:
\[\sqrt {x + 4} = 4\]
then squaring both sides and simplifying, we get:
x=12

Answer 10

and since 12 > -4, we can conclude that x=12 is the solution of our equation

Answer 11

one more question

Answer 12

ok!