Answer and Step-by-step explanation:
Essentially, what we want to do is isolate the variable, which is x in this case. In order to do so, we need to "undo" all the operations on the left to separate x.
Our equation is:
2(x + 2)² - 5 = 93
To "undo" the subtract 5, add 5 to both sides:
2(x + 2)² = 93 + 5 = 98
To "undo" the multiply by 2, divide by 2 from both sides:
(x + 2)² = 98/2 = 49
To "undo" the square, square root both sides:
x + 2 = √49 = ±7
TO "undo" the plus 2, subtract 2 from both sides:
x = ±7 - 2
And our final answers are 5 and -9.
The steps are thus:
- Add 5 to both sides
- Divide both sides by 2
- Take the square root of both sides
- Subtract 2 from both sides