Question

if a and b are the zeroes of the polynomial x2-2x-1,form a quadratic equation whose zeroes are 2a-1, 2b-1​

Answer 1

Answer:

a=1

b=-1

x2+2x-3 is required quadratic equation

Step-by-step explanation:

x2-2x+1

split middle term

x2-x-x-1

(x-1) (x+1)

x=-1 Or x= 1

zero of quadratic equation are

2a-1 and 2b+1

alpha=1 and beta= -3

putting value in

x2-(alpha+beta) x+( alpha×beta)

x2+2x-3