Question

find the quadratic equation whose zeroes 2+root 5 and 2-root5

Answer 1

Answer:

Answer

One root α=2+

5

and another say β

Sum of roots=α+β=4

⇒2+

5

+β=4

⇒β=2−

5

Polynomials, p(x)=(x−2−

5

)(x−2+

5

)

p(x)=x

2

−4x−1