Question

if a and b are the zeroes of the polynomial p(x)= x^2- x - 4 find the value of 1/a +1/b-ab
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Answer 1

Step-by-step explanation:

x²-x+4=0

a and b are zeroes of the polynomial.

a+b=1 and ab=4

$\frac{1}{a} + \frac{1}{b} - ab$

$\frac{a + b}{ab} - ab$

$\frac{1}{4} - 4$

$\frac{1 - 16}{4}$

$\frac{ - 15}{4}$