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Find the roots of the following quadratic equation by factorisation: 2x2 + x – 6 = 0 - Mathematics

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प्रश्न

Find the roots of the following quadratic equation by factorisation: 

2x2 + x – 6 = 0

योग

उत्तर

2x2 + x – 6

= 2x2 + 4x - 3x - 6

= 2x(x + 2) - 3(x + 2)

= (x + 2)(2x - 3)

Roots of this equation are the values for which (x + 2)(2x - 3) = 0

∴ x + 2 = 0 or 2x - 3 = 0

⇒ x = -2 or x = `3/2`

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अध्याय 4: Quadratic Equations - Exercise 4.2 [पृष्ठ ७६]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 10
अध्याय 4 Quadratic Equations
Exercise 4.2 | Q 1.2 | पृष्ठ ७६

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