Question

Write the quadratic equation whose roots are 3+√5 and 3-√5​

Answer 1

Answer:

Let 'm' and 'n' be the roots ∴m=3+2

5

and n=3−2

5

Sum of the roots =m+n=3+2

5

+3−2

5

∴m+n=6

Product of the roots =mn=(3+2

5

)(3−2

5

)=(3)

2

−(2

5

)

2

=9−20∴mn=−11

x

2

−(m+n)x+mn=0∴x

2

−6x−11=0