Question

Form the quadratic equation from the roots given below.

 3 and –10

Answer 1

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 \[x^2 - \left( - 7 \right)x + \left( - 30 \right) = 0\]

\[x^2 + 7x - 30 = 0\]