Answer:
x = 1±2i
Step-by-step explanation:
(x - 1)^2 = -4.
Take the square root of each side
sqrt( (x - 1)^2) = sqrt(-4)
Sqrt(ab) = sqrt(a)sqrt(b)
We know the sqrt(4) = 2 and the sqrt(-1) = ±i
x-1 = ±2i
Add 1 to each side
x-1+1 = 1±2i
x = 1±2i
Step-by-step explanation:
So firstly, you want to multiply both sides by (x-2)(x+2) since it is the LCM, or lowest common multiplier. Your equation will look like this:
Next, you can cancel out the denominators on 3/x+2 and 4/x-2 on the left side:
Next, foil:
Next, combine like terms:
Next, add x + 14 on both sides:
Next, replace x with -5x + 6x:
Next, factor 5x^2-5x and 6x-6 separately. Make sure that both factors have the same quantity within the parentheses:
With this, we can rewrite it as From here, we solve for x in (5x+6) and (x-1) separately and setting them to zero.
In short, x = -1.2, 1.
The answer is 4 because the point x is equal to 4 on the graph