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Question
Form the quadratic equation from the roots given below.
3 and –10
Solution
3 and –10
Sum of roots = 3 + (–10) = −7
Product of roots = 3 \[\times\]–10 = –30
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 obtained is \[x^2 - \left( - 7 \right)x + \left( - 30 \right) = 0\]
\[x^2 + 7x - 30 = 0\]
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