Question

if alpha and beta are the zeros of x square + 4 x minus 3 then form a polynomial whose zeroes at 1by alpha and 1by beta​

Answer 1

Answer:

3x^2-4x-1=0

Step-by-step explanation:

let a is alpha and b is beta

a+b=-4 (1)

ab=-3. (2)

a'=1/a

b'=1/b

a'+b'=1/a+1/b

=a+b/ab

substitue the value from eqs 1&2 you get

=4/3. (3)

a'×b' = 1/a×1/b

=1/ab

substitue the value from eq.(2)

you will get

=1/-3. (4)

general formula to make quadratic equation

x^2-(a'+b')x-a'b'

put all the value of a'& b' from (3) &(4) you will get

3x^2-4x-1=0