Question

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Answer 1

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Please, see the attached file.
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Answer 2

- 10 + SQRT(x + 8) = - 4


Radical Equatiion Entered:

- 10 + SQRT(x + 8) = - 4

Step by step Solution 1:
Isolate the square root on the left hands side.

Original Equation:  
- 10 + SQRT(x + 8) = - 4

Isolate: SQRT(x + 8) = 10 - 4


Tidy up:
SQRT (x + 8) = 6


Step 2: Eliminate the radical on the left hand sied:

Raise both sides to the Second Power:

(SQRT X + 8)^2 = (6)^2


After Squaring
X + 8 = 36


Step 3: Solve Linear equation:

Rearrange Equation:
x - 28 = 0

Add 28 to both sides:
x = 28


Possible solution is:

X = 28


Step 4 CHECK:

Original equation, root isolated, after tidy up.

SQRT(x + 8) = 6

Plug in 28 for X
SQRT(28) + 8 = 6

Simplify:
SQRT(36) = 6


Solution Check is
X = 28

Answer: 
(A.);  X = 28