Question

if a and b are the zeroes of xsquare -2x -1 form quadratic polynomial whose zeroes are 2a -1,2 B+1​

Answer 1

Answer:

X^2 - 4x +9-4V3 =0

Step-by-step explanation:

x^2 -2x -1 =0

==>  a + b  = 2  ,    ------1

==>  a . b = -1

a-b  =  Root ( (a+b)^2 -4 ab)

      =   Root( 4+4)

a-b   =  2V3          ----2

adding 1 and 2

 a  + b   =   2        ------1

 a  -  b   =  2V3          ----2

2a= 2 + 2V3

(2a-1)  = 1+2V3   -------(3)

(2b+1)  = 3-2V3

subtracting 2 from 1

so SOR = 4 , POR = 3+6V3-2V3-12= 4V3-9

equation = X^2 - 4x +9-4V3 =0

equation = X^2 - (-2)x + (-12+4V3) =0

X^2 +2x + 4V3-12) =0