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

If the Roots of X² + Kx + K = 0 Are Real and Equal, What is the Value of K? - Algebra

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प्रश्न

If the roots of x² + kx + k = 0 are real and equal, what is the value of k?

पर्याय

  •  0

  • 4

  • 0 or 4

  •  2

MCQ

उत्तर

0 or 4

X^2+kx+k has distinct real solution .

So, for distinct real solution

Use formula b^2 - 4ac>0

a = 1 , b= k , c = k

Put formula b^2– 4ac>0

K^2 - 4×1×k >0

K^2 - 4k>0

K(k-4)>0

K>0, k -4>0

K>0, k<4

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2018-2019 (March) Balbharati Model Question Paper Set 2

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