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

Α, β Are Roots of Y2 – 2y –7 = 0 Find, α3 + β3 - Algebra

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प्रश्न

α, β are roots of y2 – 2y –7 = 0 find, 

α3 + β

उत्तर

α, β are roots of y2 – 2y –7 = 0  

\[a = 1, b = - 2, c = - 7\] 

\[\alpha^3 + \beta^3 = \left( \alpha + \beta \right)^3 - 3\alpha\beta\left( \alpha + \beta \right)\]
\[ = \left( 2 \right)^3 - 3\left( - 7 \right)\left( 2 \right)\]
\[ = 8 + 42\]
\[ = 50\]

 

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पाठ 2: Quadratic Equations - Practice Set 2.5 [पृष्ठ ५०]

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बालभारती Algebra (Mathematics 1) [English] 10 Standard SSC Maharashtra State Board
पाठ 2 Quadratic Equations
Practice Set 2.5 | Q 6.2 | पृष्ठ ५०

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