Two Real Solutions
Step 1: First, you want to set up your Quadratic Formula.
Step 2: Use your A,B and, C to plug into the Quadratic Formula.
Step 3: Solve the math using order of operations.
Step 3.1: The order of operation is PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition and, Subtraction.)
Step 4: When you come to the part with the big number that has the be square-rooted, you simply break it into factors that equal divide into it. For each one that can equal divide into it HAS to be under a Square Root Symbol.
Step 5: Complete any math can be simply square-rooted, for instance I had the number four under a square root symbol, so I was able to easy put that down as the number two.
Step 6: Since you have the plus/minus symbol in a Quadratic Equation, there are going to be TWO equations that give you TWO real solutions. One equation has the plus sign in it and the other has the minus sign in it.
Step 7: Continue with using PEMDAS and complete the standard math. In this case it's the "AS" part of PEMDAS.
Step 8: From there you should have TWO equations with TWO real solutions.
Two Solutions With Imaginary Numbers
Step 1: First, you want to set up your Quadratic Equation.
Step 2: Use your A,B and, C to plug into the Quadratic Equation.
Step 3: Solve the math using order of operations.
Step 4: You will come up to a part where you have the square root a negative number. For this you have to break it up into two to three parts. For mine I did the square root of negative one and the square root of sixteen. Because of course if those two were combined it would give you the square root of negative sixteen.
Step 5: Complete any math can be simply square-rooted, for instance I had the number 16 under a square root symbol, so I was able to easy put that down as the number four
Step 5.1: For a little side note, when ever you have a negative one under a square root symbol, it is the same thing as "i."
Step 6: Since you have the plus/minus symbol in a Quadratic Equation, there are going to be TWO equations that give you TWO solutions with imaginary numbers. One equation has the plus sign and the other has the minus sign.
Step 7: Complete any standard math.
Step 8: From there you should have TWO equations with TWO solutions than include imaginary numbers.
