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gjhfdfg
 2 years ago
Finding x intercepts for quadratic functions
gjhfdfg
 2 years ago
Finding x intercepts for quadratic functions

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gjhfdfg
 2 years ago
Best ResponseYou've already chosen the best response.0I need help on finding the x intercept on this quadratic function, dw:1360627184057:dw

Marx
 2 years ago
Best ResponseYou've already chosen the best response.2do you know the formula? http://en.wikipedia.org/wiki/Quadratic_equation#Quadratic_formula

gjhfdfg
 2 years ago
Best ResponseYou've already chosen the best response.0Ok, so I solve it like this? dw:1360627636615:dw

Marx
 2 years ago
Best ResponseYou've already chosen the best response.2that way you have a number :D

gjhfdfg
 2 years ago
Best ResponseYou've already chosen the best response.0What happens to the x^2?

Marx
 2 years ago
Best ResponseYou've already chosen the best response.2well: a,b and c are the coefficients so there's no need for x's. check the formula again. so you should have two solutions.

gjhfdfg
 2 years ago
Best ResponseYou've already chosen the best response.0Them 2 solutions got me lost..

Marx
 2 years ago
Best ResponseYou've already chosen the best response.2it goes like this: \[x_{1,2} =\frac{12\pm \sqrt{12^24\cdot 6 \cdot 5}}{6\cdot 2} = 1\pm \frac{\sqrt{24}}{12}=1\pm\frac{2\sqrt{6}}{12}=1\pm\frac{1}{\sqrt6}\] so we have : \[x_1 = 1+\frac{1}{\sqrt{6}}\] and x_2 = 1\frac{1}{\sqrt{6}}

Marx
 2 years ago
Best ResponseYou've already chosen the best response.2i mean \[x_2= 1\frac{1}{\sqrt{6}}\]

gjhfdfg
 2 years ago
Best ResponseYou've already chosen the best response.0How did you get the\[\sqrt{24}\] ?

Marx
 2 years ago
Best ResponseYou've already chosen the best response.2\[12^2  4\cdot 6 \cdot 5 = 144  120 = 24\]

gjhfdfg
 2 years ago
Best ResponseYou've already chosen the best response.0Ah, ok I was thinking 12*12 = 120 instead of 144. My bad,

gjhfdfg
 2 years ago
Best ResponseYou've already chosen the best response.0But then how did \[2\sqrt{6}\] come in?

gjhfdfg
 2 years ago
Best ResponseYou've already chosen the best response.0The square roots throw me off...

Marx
 2 years ago
Best ResponseYou've already chosen the best response.2\[\sqrt{24}=\sqrt{4\cdot 6} =\sqrt{4} \cdot \sqrt{6} = 2\sqrt{6}\]

gjhfdfg
 2 years ago
Best ResponseYou've already chosen the best response.0Do we do anything else to it?

gjhfdfg
 2 years ago
Best ResponseYou've already chosen the best response.0Is there anything else I should do to the answer(s)? None of them match my answer choices

Marx
 2 years ago
Best ResponseYou've already chosen the best response.2hmm what are your choices?

Marx
 2 years ago
Best ResponseYou've already chosen the best response.2so it's the second one: \[\frac{6\pm \sqrt{6}}{6}\] it's basically what I told you but in a different form

Marx
 2 years ago
Best ResponseYou've already chosen the best response.2\[\frac{6\pm\sqrt{6}}{6} = 1 \pm \frac{\sqrt{6}}{6} = 1\pm \frac{1}{\sqrt{6}}\]
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