Solving a Quadratic Equation
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$$x^2 - x = 12$$
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Step by Step Written Solution
In this problem, we're asked to solve a quadratic equation. Let's look at the equation written on the paper: x squared minus x equals twelve.
Solving a Quadratic Equation
First, let's write the equation down clearly on our board.
To solve a quadratic equation, we usually want to set it equal to zero. To do that, we subtract twelve from both sides.
Now we can solve this by factoring. We are looking for two numbers that multiply to negative twelve and add up to negative one.
Product: -12
Sum: -1
After thinking about the factors of twelve, we find that negative four and positive three work perfectly.
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