When travelling on a road, you are either going to travel parallel to another road or you will eventually cross it. Lines are very much the same. Two lines on the Cartesian plane are either parallel or intersecting. If lines are intersecting, we want to find where they cross or their point of intersection.
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When we are faced with a quadratic that is not “nice” to factor we need to find a way to factor it. This is where the quadratic formula comes in. The discriminant is a value that can be calculated for each quadratic equation. Depending on the value of the discriminant, we can determine if the quadratic equation has a solution, or has factors, or not.
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