did u know this Derivation of discriminant formula?
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Hence, the nature of the roots α and β of equation ax2 + bx + c = 0 depends on the quantity or expression (b2 – 4ac) under the square root sign. ... Therefore for this equation, there are no real number solutions. Hence, the expression (b2 – 4ac) is called the discriminant of the quadratic equation ax2 + bx + c = 0.
Mathwords: Discriminant of a Quadratic. The number D = b2 – 4ac determined from the coefficients of the equation ax2 + bx + c = 0. The discriminant reveals what type of roots the equation has. Note: b2 – 4ac comes from the quadratic formula.
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