Question

A quadratic equation whose one root is 2 and sum of whose roots is
zero is​

Answer 1

Answer:

Let α and β be the roots of the quadratic equation.

Given:Sum of the roots=α+β=280

And one root is 2

⇒α=2

⇒β=280−2=278

∴ the quadratic equation is x

2

−(α+β)x+αβ=0

or x

2

−280x+2×278=0

or x

2

−280x+556‬=0 is the required quadratic equation.