Question

find quadratic equation whose roots are (p+q/p-q) ,(p-q/p+q)​

Answer 1

Answer:

The roots are (p+q)/p-q), (p-q/p+q)

Step-by-step explanation:

α=p-q/p+q

β= -p+q/p-q

x*-(α-β)x+αβ=0

α+β= p-q/p+q- p+q/p-q = (p-q)*-(p+q)*/(p+q)(p-q)

= p*+q*-2pq-p*-q*-2pq/p*-q* = -4pq/p*-q*

α.β= p-q/p+qx -p+q/p-q= -1

the equation is x*-(-4pq/p*-q*)x-1=0

= (p*-q*)x*+4pqx -(p*-q*) = 0.