Question

the quadratic equation with real coefficients whose one root is 5+✓5/2 is​

Answer 1

Step-by-step explanation:

ANSWER

Complex roots occur in conjugate form.

Hence,

Conjugate of 3−2i will be 3+2i.

Thus, the roots are 3−2i and 3+2i.

Sum of the roots, is 6.

And product of the roots is (3−2i)(3+2i) =9+4=13.

Hence, the equation will be

x

2

−6x+13=0.