![]() ![]() i f b 2 - 4 a c i f b 2 - 4 a c > 0 → 2 s o l u t i o n s.i f b 2 - 4 a c = 0 → 1 s o l u t i o n. ![]() The discriminant is used to determine how many solutions the quadratic equation has. The expression b 2 - 4 a c, which is under the (sqrt) inside the quadratic formula is called the discriminant. Or, if your equation factored, then you can use the quadratic formula to test if your solutions of the quadratic equation are correct. You can use this formula to solve quadratic equations. Consider a quadratic equation in standard form: The quadratic formula is used to solve quadratic equations. So a quadratic polynomial has as its highest value something to the second degree something squared. In math, the meaning of square is an exponent to the second degree. But the origin of the word means “to make square,” as in length times width. Confusion enters when we look at the word “quadratic” because it implies four of something, like a quadrilateral. Polynomials (expressions with many terms) can have linear, square, and cubic values. To understand it, to value it, and to apply it correctly, you need to know a tiny bit of its background, then appreciate every term in it.
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