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

Find the value of discriminant of the following equation. 2y2 − y + 2 = 0 - Algebra

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प्रश्न

Find the value of discriminant of the following equation.

2y2 − y + 2 = 0

बेरीज

उत्तर

2y2 − y + 2 = 0

For the quadratic equation,  ax2 + bx + c = 0

D = b2 − 4ac

Here, 

a = 2, b = −1, c = 2

D = (−1)2 − 4 × 2 × 2

= 1 − 16

= −15

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

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If 2 and 5 are the roots of the quadratic equation, then complete the following activity to form quadratic equation:

Activity:

Let α = 2 and β = 5 are the roots of the quadratic equation.

Then quadratic equation is:

x2 − (α + β)x + αβ = 0

∴ `x^2 - (2 + square)x + square xx 5 = 0`

∴ `x^2 - square x + square = 0`


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