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Maharashtra State BoardSSC (English Medium) 10th Standard

Two Roots of Quadratic Equations Are Given ; Frame the Equation. 0 and 7 - Algebra

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Question

Two roots of quadratic equation is given ; frame the equation.

 0 and 7

Sum
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Solution

0 and 7
Sum of roots = 0 + 7 = 7
Product of roots =  \[0 \times 7 = 0\]

The general form of the quadratic equation is \[x^2 - \left( \text{ Sum of roots } \right)x + \text{ product of roots }  = 0\]

So, the quadratic equation will be  \[x^2 - 7x + 0 = 0\]
\[ \Rightarrow x^2 - 7x = 0\]

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Chapter 2: Quadratic Equations - Problem Set 2 [Page 54]

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Balbharati Algebra (Mathematics 1) [English] Standard 10 Maharashtra State Board
Chapter 2 Quadratic Equations
Problem Set 2 | Q 5.3 | Page 54
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