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State whether the following quadratic equations have two distinct real roots. Justify your answer. 2x2 + x – 1 = 0 - Mathematics

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Sum

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

2x2 + x – 1 = 0

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Solution

The equation 2x2 + x – 1 = 0 has two real and distinct roots.

D = b2 – 4ac

= 12 – 4(2)(–1)

= 1 + 8 > 0

Hence, the roots are real and distinct.

Concept: Nature of Roots
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APPEARS IN

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