Answer:
|x - 1| = 6
Step-by-step explanation:
After step 2, we have that:
(x - 1)^2 = 36
and after step 4, we have the results:
x = -5 or x = 7
After step 2, what we can do in step 3 is: use square root in both sides of the equation:
|x - 1| = 6
This equation can be split in two:
x - 1 = 6 -> x = 7
x - 1 = -6 -> x = -5
So Seth could write this equation in step 3:
|x - 1| = 6
The value of x from the given expression are 5 and 7
Given the expression
5(x - 1)^2 = 18
Step 2 as shown is given as:
(x - 1)^2 = 36
Take the square root of both sides
√(x - 1)^2 = √36
x - 1 = 6
The solutions are x - 1 = 6 and x + 1 = 6
x = 6 + 1 = 7
x = 6 - 1
x = 5
Hence the value of x from the given expression are 5 and 7
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