Question

Find equation having 3+root5/2 and 3-root5/2

Answer 1

let roots be a = 3+√(5/2) and b= 3-√(5/2)

sum of the roots = 3+√(5/2) + 3-√(5/2) = 6

a+b =6

product of roots = [ 3+√(5/2) ][ 3-√(5/2) ]

ab = 9-5/2 =13/2

Required equation is x²-(a+b)x + ab =0

x² - 6x +13/2 =0

2x²-12x +13 =0