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Question
Two roots of quadratic equation is given ; frame the equation.
10 and –10
Solution
10 and –10
Sum of roots = 10 + (–10) = 0
Product of roots = \[10 \times \left( - 10 \right) = - 100\]
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
\[x^2 - 0x - 100 = 0\]
\[ \Rightarrow x^2 - 100 = 0\]
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