Is it possible for the roots of a quadratic equation of one variable of complex number to be a real number and an imaginary number? I just learned plural. I hope you can take care of me!

It's impossible. You should know the root formula of quadratic equation with one variable? B ^ 2-4ac is called the discriminant of quadratic equation with one variable. The discriminant can be divided into two cases, one is that the value of discriminant is non negative, the other is that the value of discriminant is negative. The former will get the real root, the latter will get the root because the negative number is squared

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