Question

If one zero Of P(x) = x2 - 4x +1 is underoot2
+3,
find the other Zero,​

Answer 1

Answer:

2  - √3

Step-by-step explanation:

If one zero Of P(x) = x² - 4x +1 is 2  + √3,

find the other Zero,​

Let say other Zero = α

Sum of Zeroes = - b/a = - (-4)/1 = 4

=> 2  + √3  + α = 4

=> α = 2 - √3

other zero is 2  - √3

Verification

(x  - ( 2 + √3))(x - ( 2  - √3))

= x² - x(2 + √3 + 2  - √3)  + ( 2 + √3)( 2  - √3)

= x² - 4x  + (4 -3)

= x² - 4x  +  1