if a and b are zeroes of p(x) = 2x square-x-6 then find the value of a^-1+b^-1
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Answer:
-1
Step-by-step explanation:
P(x)=2x² - x - 6
=2x² + 3x - 4x - 6
=x(2x+3) - 2(2x+3)
P(x)=(x-2)(2x+3)
Hence x = 2 and x =-3/2 are the zeros of P(x)
let a = 2 and. b = -3/2
then, 1/a + 1/b = 1/2 + (-3/2)
= 1/2 - 3/2
= -1
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