what is the sum of zeros of the function y=6x^2-x-2 ?

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13-11-2014
Mathematics

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what is the sum of zeros of the function y=6x^2-x-2 ?

Sagot :

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FirstSineOfMadnessidn FirstSineOfMadnessidn · Answer 1 · 2014-11-13T22:14:51-05:00

FirstSineOfMadnessidn FirstSineOfMadnessidn

13-11-2014

It factors out to (2x+1)(3x-2)
zeroes are -1/2 and 2/3 sum is 1/6
Final answer:
1/6

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Kate200468idn Kate200468idn · Answer 2 · 2014-11-14T13:58:56-05:00

Kate200468idn Kate200468idn

14-11-2014

[tex]y=6x^2-x-2\ \ \ \Rightarrow\ \ \ \Delta=(-1)^2-4\cdot6\cdot(-2)=1+48=49\\\\\Delta>0\ \ \ \Rightarrow\ \ \ exist\ two\ zeros\ of\ the\ function\\\\Vieta's\ formulas:\ \ \ x_1+x_2=- \frac{b}{a} \\\\x_1+x_2=- \frac{-1}{6} = \frac{1}{6}\\\\Ans.\ \ \ The\ sum\ of\ zeros\ is\ \frac{1}{6}[/tex]

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