What can you say about the nature of any other zeros of the quadratic equation which has one complex zero? explain your answer.

To know the roots or the zeros of a quadratic equation of the form ax^2 + bx +c = 0, you use the quadratic formula:



where a and b are coefficients of the variables and c is the constant in the quadratic equation. The nature of the roots could be real or complex. Real roots are those in whole numbers, fractions or decimals. Complex roots involve a term 'i' which is equal to √(-1). It stands for imaginary. You can get complex roots if the discriminant, the term with the square root in the quadratic formula, is negative. For example, if √(b^2-4ac) = √-50, that is imaginary which is equal to 50i. Also, notice that before the discriminant, there is a +/- sign. Therefore, if one of the complex roots is, say 6+50i, then the other root must be 6-50i.

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