Question

if a and b are the zeros of the polynomial f(x)=x^2+x-2,find the value of (1/a-1/b)​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

$\sf {x}^{2} + x - 2 = 0$

$\sf {x}^{2} + 2x - x - 2 = 0$

$\sf x ( x + 2 ) - 1 ( x + 2 ) = 0$

$\sf ( x + 2 )( x - 1 ) = 0$

$\sf So\:the\:zeroes\:of\:the\:polynomial\:are\: - 2 \:and\: 1$

$\sf if \:a=1\:and\:b=- 2$

$\sf \frac {1}{1} + \frac {1}{2} = \frac {3}{2}$

$\sf if\:a=-2\:and\:b=1$

$\sf - \frac {1}{2} - 1 = - \frac {3}{2}$

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