Question

if on root is 3+√5 then quadratic equation will be

Answer 1

Then the other root follows 3- root of 5 and and then use the formula to find the equation

Answer 2

since irrational roots occur in pair then the other root is 3–√5
now we have both roots and we can find the equation by
(x–a)(x–b) = 0
[x–(3+√5)] × [x–(3–√5)] = 0
we have,
x^2 – 6x + 4.