Question

If α and β are the zeroes of 2x^2-9x+10, form the polynomial whose zeroes are 1/α+1/β

Answer 1

Answer:9/10

Step-by-step explanation:2x^2-9x+10

2x^2-(4-5)x+10

2x^2-4x-5x+10

2x(x-2)-5(x-2)

(x-2)(2x-5)

x=2

x=5/2

Alpha=2

Bita=5/2

1/a+1/b

1/2+1/5/2

1/2+2/5

5+4/10

9/10