Question

02.If a and B are the zeroes of the polynomial f(x)=x2+x+1, then 1/a+1/b​

Answer 1

Step-by-step explanation:

${x}^{2} + x + 1 = \: polynomial \\ \frac{1}{a} + \frac{1}{b} = \frac{a + b}{ab} \\ a + b = \frac{ - b}{a} \\ = \frac{ - x}{ {x}^{2} } \\ ab = \frac{c}{a} \\ = \frac{1}{ {x}^{2} } \\ \frac{a + b}{ab} = \frac{ \frac{ - x}{ {x}^{2} } }{ \frac{1}{ {x}^{2} } } = \frac{ - x}{ {x}^{2} } \times {x}^{2} \\ = - x$

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