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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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