The roots of the quadratic equation x2 – 2√3x – 22 = 0 are:(a) i

1.	The roots of the quadratic equation x2 – 2√3x – 22 = 0 are:(a) imaginary (b) real, rational, equal (c) real, rational, unequal (d) real, irrational, unequal
Answer» (c) real, rational and unequal. Given equation is x² – 2√3x – 22 = 0. Discriminant = D = b² – 4ac (for ax² + bx + c = 0) = (–2√3)² – 4(–22) = 12 + 88 = 100 As D > 0 and is a perfect square, the roots are real, rational and unequal.

The roots of the quadratic equation x2 – 2√3x – 22 = 0 are:(a) imaginary (b) real, rational, equal (c) real, rational, unequal (d) real, irrational, unequal

Answer»

(c) real, rational and unequal.

Given equation is x² – 2√3x – 22 = 0.

Discriminant = D = b² – 4ac (for ax² + bx + c = 0)

= (–2√3)² – 4(–22) = 12 + 88 = 100

As D > 0 and is a perfect square, the roots are real, rational and unequal.