Question

If one root of the quadratic equation with rational coefficients is $\frac{3+2\sqrt{5}}{4}$.Find the other.

Answer 1

Given,

one root is $\frac{3+2\sqrt{5}}{4}$

we know, quadratic equation will have conjugate irrational roots.

Therefore the other root is $\frac{3-2\sqrt{5}}{4}$