Question

+ -- aß.
a B
6. If a and B are the zeros of the quadratic polynomial f(x) = x2 + x - 2, find the value of 1/a-1/b


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Answer 1

Answer:

1/a-1/b=1/2

Step-by-step explanation:

x²+x-2

x²+2x-x-2

(x²+2x)-(x-2)

x(x+2)-1(x+2)

(x+2)(x-1)

x=(-2) and x=1

α=(-2) and β=1

(1/α)-(1/β)

=(-1/2)+1/1

=(-1+2)/2

=1/2