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If the equation ax2 + 2x + a = 0 has two distinct roots, if - Mathematics

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प्रश्न

If the equation ax2 + 2x + a = 0 has two distinct roots, if 

विकल्प

  • a = ±1

  • a = 0

  • a = 0, 1

  • a = −1, 0

MCQ

उत्तर

a = ±1

Explanation:

If the roots of given equation are distinct then

d = b2 – 4ac = 0 

⇒ d = b2 – 4ac = 0

⇒ 22 – 4(a) (a) = 0

⇒ 4 – 4a2 = 0

⇒ 4a2 = 4

⇒ a2 = 1

⇒ a = ±1

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अध्याय 4: Quadratic Equations - Exercise 4.15 [पृष्ठ ८३]

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आरडी शर्मा Mathematics [English] Class 10
अध्याय 4 Quadratic Equations
Exercise 4.15 | Q 5 | पृष्ठ ८३
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