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If f(x) = (x + 4)/(x^2 + ax + b) and f(x) has two vertical asymptotes at x=1 and x=2, then find the sum of a and b.

 Jul 31, 2021
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If f(x) = (x + 4)/(x^2 + ax + b) and f(x) has two vertical asymptotes at x=1 and x=2, then find the sum of a and b.

 

Hello Guest!

 

x^2 + ax + b = 0

1^2 + a*1+ b = 0      a + b = -1

2^2 + a*2 + b = 0    2a + b = 4

 

a = -3      b = 2     a + b = -1

laugh  !

 Jul 31, 2021
edited by asinus  Jul 31, 2021
edited by asinus  Jul 31, 2021
edited by asinus  Jul 31, 2021

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