These are Quadratic Equations. and the question asks us to solve the equation by finding the square roots. 3x squared = 15. that is all i understand.
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OpenStudy (lgbasallote):
first step divide both sides by 3
OpenStudy (lgbasallote):
what do you get?
OpenStudy (anonymous):
1 and 5
OpenStudy (lgbasallote):
\[x^2 = 5\] now to get rid of the square in x just take square root of both sides \[\sqrt x^2 = \sqrt 5\] \[x = \sqrt 5\]
OpenStudy (lgbasallote):
do you get that?
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OpenStudy (anonymous):
Yes! That was not as hard as I thought! Thank you very much!
OpenStudy (lgbasallote):
happy to help ^_^
OpenStudy (anonymous):
OK not another one. 36x squared = 256. so i divide each side by 36?
OpenStudy (lgbasallote):
yup
OpenStudy (lgbasallote):
note...dont put it in decimal form ;) if you dont get a whole number when you divide but put as fraction
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OpenStudy (lgbasallote):
just put as fraction*
OpenStudy (anonymous):
1/7
OpenStudy (lgbasallote):
i dont thing 256/36 = 1/7
OpenStudy (lgbasallote):
i dont think*
OpenStudy (lgbasallote):
let me just show you how to do it \[36x^2 = 256\] \[x^2 = \frac{256}{36}\] both 256 and 36 are perfect squares so if i square root both sides... \[\sqrt x^2 = \sqrt{\frac{256}{36}}\] \[x = \frac{16}{6}\] 16 is the square root of 256 and 6 is the square root of 36
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OpenStudy (anonymous):
OK thanks! This math is new to me!
OpenStudy (lgbasallote):
haha..it's cool :)) well manipulating it is cool lol