The quadratic formula is:

and

Let's identify our a, b, and c values:
a: -1
b: 1
c: 12
Plug in the values for a, b, and c into the equation. Let's do the first equation:

Simplify everything in the radical:

Simplify the radical:

Combine like terms:

Simplify:

This is one solution, now, let's solve for the other equation:
Since when simplified, everything is the same except the subtraction sign, we can skip the simplification again and change the sign to subtraction:

Combine like terms:

Simplify:

Your final answers are:


Answer:
number 3
Step-by-step explanation:
Answer:
b. the two lines are perpendicular
Step-by-step explanation:
carry on learning
Answer:
4/5
Step-by-step explanation:
It's rational because it terminates
The six scores have to average out to the mean, so their sum has to be six times the mean. Since the sum of the first five is 5 more than 5 times the mean, the remaining score must be 5 less than the mean.
Answer: 5 points below the mean