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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

If the sum of the roots of the quadratic equation x2 + kx + 6 = 0 is 6, then the value of k is ______. - Algebra

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प्रश्न

If the sum of the roots of the quadratic equation x2 + kx + 6 = 0 is 6, then the value of k is ______.

पर्याय

  • – 12

  • 6

  • 12

  • – 6

MCQ
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उत्तर

If the sum of the roots of the quadratic equation x2 + kx + 6 = 0 is 6, then the value of k is – 6.

Explanation:

Given the quadratic equation, x2 + kx + 6 = 0

We know, Sum of roots (α + β) = `- b/a`

6 = `- k/1`

– k = 6

k = – 6

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