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

Sum

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

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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NCERT Mathematics Exemplar Class 10