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State whether the following quadratic equations have two distinct real roots. Justify your answer. x(1 – x) – 2 = 0 - Mathematics

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Sum

State whether the following quadratic equations have two distinct real roots. Justify your answer.

x(1 – x) – 2 = 0

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Solution

The equation x(1 – x) – 2 = 0 has no real roots.

Simplifying the above equation,

x2 – x + 2 = 0

D = b2 – 4ac

= (-1)2 – 4(1)(2)

= 1 – 8 < 0

Hence, the roots are imaginary.

Concept: Nature of Roots
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APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 4 Quadatric Euation
Exercise 4.2 | Q 1.(viii) | Page 38
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