Question

If α and β are the zeroes of the polynomial x2 − 2x +3, then the value of 1/α + 1/β is​

Answer 1

Answer:

-2/3

Step-by-step explanation:

$x^{2} -2X-3$

α or, β =$\frac{+2+-\sqrt{((-2)^{2}-4*1*(-3)) } }{2*1}$

=$\frac{2+-\sqrt{16} }{2}$

α=$\frac{2+4}{2}$=$\frac{6}{2}$=3

β=$\frac{2-4}{2}$=$\frac{-2}{2}$=-1

$\frac{1}{a} +\frac{1}{b}$= $\frac{1}{3} +\frac{1}{-1}$=1/3-1=$\frac{1-3}{3}$ = -2/3

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