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

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

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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is your equation like this? \[\sqrt {x + 4} - 3 = 1\]
yes
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: \[x + 4 \geqslant 0\]

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since the square root of negative numbers doesn't exists
okay thanks
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
does the answer come out to be x=12
got one more question
yes! since we have to add 3 to both sides: \[\sqrt {x + 4} = 4\] then squaring both sides and simplifying, we get: x=12
and since 12 > -4, we can conclude that x=12 is the solution of our equation
one more question
ok!

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