Question

What is the nature of the roots, if b² -4ac < 0 *
A) Real and equal
B) Real and unequal
C) Not real​

Answer 1

Step-by-step explanation:

(i) If b2 – 4ac is a perfect square, the roots are rational and unequal. (ii) If b2 – 4ac is positive but not perfect square, the roots are irrational and unequal. If D = 0, i.e., b2 – 4ac = 0; the roots are real and equal.

Answer 2

Step-by-step explanation:

When a, b, and c are real numbers, a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax2 + bx + c = 0 are unequal and not real. In this case, we say that the roots are imaginary.

When a, b, and c are real numbers, a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax2 + bx + c = 0 are unequal and not real. In this case, we say that the roots are imaginary....

When a, b, and c are real numbers, a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax2 + bx + c = 0 are unequal and not real. In this case, we say that the roots are imaginary....Nature Of Roots.

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b2 – 4ac > 0 Real and unequal

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b2 – 4ac > 0 (is not a

perfect square) Real, irrational and unequal

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