SOLUTION: solve square root of 2x=-4 and also square root of x+222-square root of x+46=8

Question 442311: solve square root of 2x=-4 and also square root of x+222-square root of x+46=8
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
If I understand correctly your two problems are:
1)
2)
For number 1, remember that to "undo" square roots, we need to square both sides.
Thus, we have , then our answer would be .
For number 2, let's multiply by the conjugate.

recall that
Then

if we add the two equations we get:
30 = 2sqrt(x+222)
15 = sqrt(x+222)
225 = x+222
x =3.
if we subtract the two equations we get:
14 = 2sqrt(x+46)
7 = sqrt(x+46)
49 = x + 46
x=3
So,
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