Question

Form the quadratic equation from the roots given below.

 0 and 4

Answer 1

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 \[x^2 - 4x + 0 = 0\]

\[\Rightarrow x^2 - 4x = 0\]
\[ \Rightarrow x\left( x - 4 \right) = 0\]