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Question
Form the quadratic equation from the roots given below.
0 and 4
Solution
0 and 4
Sum of roots = 0 + 4 = 4
Product of roots = 0 \[\times\]4 = 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 obtained is \[x^2 - 4x + 0 = 0\]
\[\Rightarrow x^2 - 4x = 0\]
\[ \Rightarrow x\left( x - 4 \right) = 0\]
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