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  • 03-10-2016
  • Mathematics
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What is the sum of two solutions of the quadratic equation ax^2+bx+c=0

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apologiabiology
apologiabiology apologiabiology
  • 03-10-2016
they are
[tex] \frac{-b+ \sqrt{b^2-4ac} }{2a} [/tex] and [tex] \frac{-b- \sqrt{b^2-4ac} }{2a} [/tex]
we can see that we can add them because of the same denomenator and also we can see the square root bits cancel each other out
we are left with

[tex] \frac{-b-b}{2a}= \frac{-2b}{2a}= \frac{-b}{a} [/tex]

the sum is -b/a
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