Question

if alpha and beta are the zeroes of the polynomial 4x²-5x-1 then find the value of alpha - beta ​

Answer 1

Answer:

±3/4

Step-by-step explanation:

4x^{2} -5x-1=0

4x^{2} -4x-x-1=0

4x(x-1)-1(x-1)=0

(4x-1) (x-1)=0

(4x-1)=0 and (x-1)=0

4x-1=0 and x-1=0

4x=1 and x=1

x=1/4 and x=1

α=1/4 and β=1 or α=1 and β=1/4

α-β=1/4-1 or α-β=1-1/4

α-β=1-4/4 or α-β=4-1/4

α-β=-3/4 or α-β=3/4

Answer 2

Answer:

±3/4

Step-by-step explanation:

4x^{2} -5x-1=0

4x^{2} -4x-x-1=0

4x(x-1)-1(x-1)=0

(4x-1) (x-1)=0

(4x-1)=0 and (x-1)=0

4x-1=0 and x-1=0

4x=1 and x=1

x=1/4 and x=1

α=1/4 and β=1 or α=1 and β=1/4

α-β=1/4-1 or α-β=1-1/4

α-β=1-4/4 or α-β=4-1/4

α-β=-3/4 or α-β=3/4

Step-by-step explanation: