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The equation $x^{2} - 22 x + 2 = 0$ is studied. (Here $b = - 22$ .)
What is the nature of its roots?

Class 10Discriminant and Nature of RootsAlgebra — Quadratics

AReal and equal
BReal and distinct
CNo real roots
DImaginary and equal

Step-by-Step Solution

D = (- 22)^{2} - 4 (1) (2) = 8 - 8 = 0

, so the roots are real and equal (each equal to

2

).

Answer: A) Real and equal

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