This week in pre-calc, we learned how to find out how many solutions a quadratic equation can have without solving the equation.
We use the formula 
– 4ac from the original quadratic equation. Using this formula will make it easier to find out how many roots there is for the equation. For there to be any roots, the radicand needs to be equal to or above 0. If it’s above 0, there are real roots, distinct roots, for perfect squares it’s called a rational roots discriminant and if it’s a non perfect square, it’s called an irrational roots discriminant. If the radicand is equal to 0, there is only 1 root, an equal root. Any number below 0 (in the negative), there is no real roots.
When you have your quadratic equation, you label your ‘a’ value, your ‘b’ value and your ‘c’ value and then you input the numbers into the formula.
