Answer:
81
Step-by-step explanation:
First, you must distribute 2(3x-1).
To do that, you will multiply 2•3x, and 2•-1 because you are taking the number outside of the parentheses and multiplying (distributing) it to all the numbers inside
After distributing, the left side of your inequality will be 6x-2
Now you have

To find the value of x, you must subtract an x value from both sides of the equation, as well as a constant from each side.
so you have

And that will make the equation

Now, divide the variable side, ***BUT, because you are dividing by a negative number in an inequality, the inequality will switch sides.
Then, the value of x is greater than or equal to 2
Step-by-step explanation:
I need to use the fact that it has exactly one root to find the y part - do I use the quadratic formula on the last bit I have written?
I have x already and z = x+iy
Answer:
x = 4 ±9i
Step-by-step explanation:
x^2 - 8x + 97 = 0
Complete the square by subtracting 97 from each side
x^2 - 8x =- 97
Take the coefficient of x
-8 and divide by 2
-8/2 = -4
Then square it
(-4)^2 = 16
Add it to each side
x^2 - 8x + 16 = -97+16
(x-4)^2 = -81
Take the square root of each side
x-4 = ±sqrt(-81)
x-4 = ±9i
Add 4 to each side
x = 4 ±9i