Question

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​

Answer 1

Answer:

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I don't understand the question

Answer 2

Step-by-step explanation:

f(x) = x2 + x - 2

x2 + x - 2 = 0

=> x2 + 2x - x - 2 = 0

=> x(x+2) -1(x+2) = 0

=> (x-1)(x+2) = 0

=> x-1 = 0 or x+2 = 0

=> x = 1 or -2

if a = 1 and b = -2

then 1/a -1/b = 1/1 + 1/2 = 3/2

if a = -2 and b = 1

then 1/a -1/b = -1/2 - 1/1 = -3/2

so, 1/a -1/b = ±3/2