Section 10.4: Solving Quadratic Equations by Quadratic Formula
When we solve quadratic equations, we have several different methods that we can choose from. Using the quadratic formula is just one of those methods and is a method that always works. When solving quadratic equations using the quadratic formula, we simply plug in the a, b and c values into the formula. Quadratic equations can also be solved by using square roots, completing the square, or factoring.
The discriminant is the term underneath the square root in the quadratic formula and tells us the number of solutions to a quadratic equation. If the discriminant is positive, we know that we have 2 solutions. If it is negative, there are no solutions and if the discriminant is equal to zero, we have one solution. The discriminant is calculuated by squaring the "b" term and subtracting 4 times the "a" term times the "c" term.
The discriminant is the term underneath the square root in the quadratic formula and tells us the number of solutions to a quadratic equation. If the discriminant is positive, we know that we have 2 solutions. If it is negative, there are no solutions and if the discriminant is equal to zero, we have one solution. The discriminant is calculuated by squaring the "b" term and subtracting 4 times the "a" term times the "c" term.
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