If b²-4ac < 0
If the expression b²-4ac is less than zero, it means that the discriminant of a quadratic equation is negative
If the expression b²-4ac is less than zero, it means that the discriminant of a quadratic equation is negative. The discriminant is used to determine the nature and number of solutions that a quadratic equation has.
In a quadratic equation of the form ax² + bx + c = 0, the discriminant is the value inside the square root of the quadratic formula: b² – 4ac.
When the discriminant is negative, it implies that the quadratic equation does not have any real solutions. Instead, it will have a pair of complex conjugate solutions.
Complex numbers involve an imaginary unit, denoted by the symbol “i”. The solutions will be in the form of a+bi, where a and b are real numbers. The “a” part represents the real part of the complex number, and the “bi” part represents the imaginary part.
So, if b²-4ac < 0, the quadratic equation will have two complex conjugate solutions.
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