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

Determine the Nature of Roots for Each of the Quadratic Equation. 3 X 2 − 5 X + 7 = 0 - Algebra

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प्रश्न

Determine the nature of root of the quadratic equation.

\[3 x^2 - 5x + 7 = 0\]

बेरीज
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उत्तर

\[3 x^2 - 5x + 7 = 0\] 

In order to find the nature of the roots we need to find the discriminant. 

\[D = b^2 - 4ac\]
\[a = 3, b = - 5, c = 7\]
\[D = \left( - 5 \right)^2 - 4 \times 3 \times 7 = 25 - 84 = - 59\]

Since, the D < 0 so, there is no real root. 

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पाठ 2: Quadratic Equations - Problem Set 2 [पृष्ठ ५४]

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बालभारती Algebra (Mathematics 1) [English] Standard 10 Maharashtra State Board
पाठ 2 Quadratic Equations
Problem Set 2 | Q 6.1 | पृष्ठ ५४
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