if (3x^2)+7=0 then (x-1/3)^2 how do you suppose to solve this problem?
Well for the first equation we have 3x^2 + 7 = 0 so the the (3x^2) part needs to equal -7 to make the equation work. So we would do 3x^2 = 7 . Can you find x from that? And then you would just plug X into the next equation to find the answer.
I made a mistake. 3x^2 = -7 not 7 my bad
so the first expression is needed to solve for the second one?
let me solve
Yes, because you need to make it equal to 0? What class is this for? I am not sure how far you need to go with this. Cuase you would maybe have to use imaginary numbers using i
it is a problem from a practice test i know the answer by looking it up on the answer key but I would like to know the steps
And is the question states if 3x^2+7 = 0 then what is the value of ((x-1)/3)^2
is that the question ^ because what u said is a little different
if 3x^2-2x+7=0, then (x-1/3)^2
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3x^2 + 7 = 0 3x^2 = -7 3x = square root of -7 which then you would have to use imaginary numbers 3x = isquareroot of 7 x = i square root of 7/3
And i do not understand so the queston is if 3x^2-2x+7=0, then (x-1/3)^2?? but why are they giving you the second equation, do they want the value of (x-1/3)^2
the answer is -20/9
im not sure
I dont know sorry, the question just doesnt make sense, i dont know what they are looking for.
ok, thanks for your help anyhow
\[3x ^{2}-2x+7=0,3\left( x ^{2}-\frac{ 2 }{ 3 }x+\frac{ 1 }{ 9 }-\frac{ 1 }{9} \right)+7=0\] \[3\left( x-\frac{ 1 }{ 3 } \right)^{2}-3*\frac{ 1 }{9 }+7=0\] \[3\left( x-\frac{ 1 }{ 3 } \right)^{2}=\frac{ 1 }{3}-7=-\frac{ 20 }{3 }\] \[\left( x-\frac{ 1 }{ 3 } \right)^{2}=-\frac{ 20 }{9 }\]
Thank You!
if i can ask, -1/9 & 1/9 come from 1/3^2
how come one is negative and one positive
\[\to complete thesquare ,if coefficient of x ^{2} is 1,then add \left( \frac{coefficient of x}{ 2 } \right)^{2}\]
ok!
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