Question

If alpha and beta are the zeroes of x2

+ 5x + 6, then find the value of 1/ alpha +1/ beta is ​

Answer 1

Step-by-step explanation:

x2+5x+6=x2+(2+3)x+6

=x2+2x+3x+6

=x(x+2)+3(x+2)

=(x+2)(x+3)

Therefore the zeros of the given polynomial are - 2 & - 3

So 1/alpha = 1/-2

1/beta= 1/-3

Answer 2

Answer:

-5/6

Step-by-step explanation:

• roots are - (x+2)(x+3)
• alpha=(-2), beta=(-3)
• 1/alpha=(-1/2), 1/beta=(-1/3)
• (-1/2)+(-1/3)=(-5/6)