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State whether the following quadratic equations have two distinct real roots. Justify your answer. 2x2-6x+92 = 0 - Mathematics

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Sum

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

`2x^2 - 6x + 9/2` = 0

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Solution

The equation `2x^2 - 6x + 9/2` = 0 has real and equal roots.

D = b2 – 4ac

= (–6)2 – 4(2)(9/2)

= 36 – 36

= 0

Hence, the roots are real and equal.

Concept: Nature of Roots
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APPEARS IN

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