Question

Find the quadratic equation which has two roots 5+√3 and 5-√3

Answer 1

alpha=5+√3
bita=5-√3
alpha+bita =5+√3+5-√3=10
alpha×bita=(5+√3) (5-√3) =25-3=22
x²-(alpha+bita) x+alpha×bita
x²-10x+22

Answer 2

Answer:

Step-by-step explanation:

Alpha + beta = 5 + root3 5-roote

=10

Alpha x beta =25 - 3 (5sq - root 3 sq)

=22

Therefore , the polynomial is

X² - (alpha + beta)x +(alpha x beta)

=x² - 10x + 22

This is the required polynomial