Step by step
The question
Question: solve √(x + 4) + 5 = 2.
√x + 4 + 5 = 2
1 Get the root alone
We want the square root by itself.
The + 5 is in the way.
To remove + 5, we take away 5.
We do it on both sides, so they stay equal.
√x + 4 + 5 − 5 = 2 − 5
+ 5 and − 5 make zero.
Cross them out.
2 minus 5 is −3.
2 − 5 = −3
Now we have √(x + 4) = −3.
√x + 4 = −3
A square root is never negative.
The square root of 9 is 3, not minus 3.
√ is never negative
So it can never be −3.
There is no solution.
√x + 4 = −3 no solution
Answer
√x + 4 = −3 no solution