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

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प्रश्न

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

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

योग
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उत्तर

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.

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अध्याय 4: Quadatric Euation - Exercise 4.2 [पृष्ठ ३८]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 10
अध्याय 4 Quadatric Euation
Exercise 4.2 | Q 1.(iii) | पृष्ठ ३८

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