If α and β are the zeroes of the polynomial x2 – 19 x + 60 then 1/

1.	If α and β are the zeroes of the polynomial x2 – 19 x + 60 then 1/α + 1/β is
Answer» <html><body><p><strong>Step-by-step <a href="https://interviewquestions.tuteehub.com/tag/explanation-455162" style="font-weight:bold;" target="_blank" title="Click to know more about EXPLANATION">EXPLANATION</a>:</strong></p><p>x²-19x+60</p><p></p><p>x²-15x-4x+60</p><p>x(x-15)-<a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a>(x-15)</p><p>(x-4)(x-15) then <a href="https://interviewquestions.tuteehub.com/tag/roots-1191034" style="font-weight:bold;" target="_blank" title="Click to know more about ROOTS">ROOTS</a> a=4, b=15</p><p></p><p>1/4 +1/15</p><p></p><p>=15+4/60=19/60</p></body></html>

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If α and β are the zeroes of the polynomial x2 – 19 x + 60 then 1/α + 1/β is

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