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Can A Quadratic Equation Have No Real Solutions

Can A Quadratic Equation Have No Real Solutions b2 −4ac = 0 There is one real root. 3. b2 −4ac 0 There are two real roots. If the discriminant of a quadratic function is less than zero, that function has no real roots, and the parabola it represents does not intersect the x-axis.The graph of y=0 is nothing more than the x-axis. ... You can see from the graph that there are no x-intercepts. This means that there are no real answers; the solution are two imaginary numbers. The answers are and These answers may or may not be solutions to the original equations.It is called the Discriminant, because it can "discriminate" between the possible types of answer: when b2 − 4ac is positive, we get two Real solutions. when it is zero we get just ONE real solution (both answers are the same) when it is negative we get a pair of Complex solutions.

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