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Without solving, comment upon the nature of roots of the following equation: 6x2 – 13x + 4 = 0 - Mathematics

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प्रश्न

Without solving, comment upon the nature of roots of the following equation: 

6x2 – 13x + 4 = 0

योग

उत्तर

6x2 – 13x + 4 = 0

a = 6, b = −13 and c = 4

∴ Discriminant = b2 – 4ac

= (−13)2 – 4(6)(4)

= 169 – 96

= 73

Since 73 is not a perfect square, roots are irrational

Since D > 0, then equation has two real and unequal roots. 

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अध्याय 5: Quadratic Equations - Exercise 5 (B) [पृष्ठ ५६]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 5 Quadratic Equations
Exercise 5 (B) | Q 1.2 | पृष्ठ ५६
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