Question

7. If one root of the quadratic equation is 2+√3, the equation is
(a) x² - 4x+1=0
(a) x2 + 4x+1=0
(c) x2 - 4x-1=0
(d) None of these​

Answer 1

Answer:

( a)

Step-by-step explanation:

x² - 4x+1

a=1 b=-4 and c=1

using quadratic formula

x= (-b+_√b²-4ac) /2a

x= (4+_√4²-4.1.1) /2.1

x= (4+_√16-4) /2

x= (4+_√12) /2

x= (4+_2√3)/2

x= 2(2+_√3)/2

x= (2+_√3)

so x= (2+√3) and x= (2- √3)