Question

if alpha and beta are the zeros of the quadratic polynomial x square - p[x-1]-C ,show that [alpha -1] [beta +1]= 1-C​

Answer 1

Answer:

alpha

Step-by-step explanation:

Answer 2

polynomial

= x²-p(x-1) - C

= x²- px + (p - C)

therefore

(alfa-1) ( beta+1)

= alfa× beta + alfa-beta -1

= (p-C)/1 + √ ( alfa - beta)²-1

= ( p-C) + √ [( alfa+ beta)²- 4alfa× beta] -1

= ( p- C) + √[( p/1)²-4(p-C)]-1

= ( p- C) +√ ( p²-4p+ 4C)- 1

solving these gives

1-C