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:
[tex]x= \frac{-b+/- \sqrt{ b^{2}-4ac } }{2a} [/tex]
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.
[tex]x= \frac{-b+/- \sqrt{ b^{2}-4ac } }{2a} [/tex]
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.