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OpenStudy (anonymous):
x^2-4x=1 what number must you add to complete this square?
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OpenStudy (anonymous):
Please help it would be appreciated:)
OpenStudy (anonymous):
Remember,Half and square
OpenStudy (zarkon):
4
\[x^2-4x+4=(x-2)^2\]
OpenStudy (anonymous):
think "half of -4 is..."
i get -2
then think "(-2) squared is..." 4. so you need to add 4
OpenStudy (anonymous):
Thank you and yes i remember imranmeah91.. but does that apply to all equations?
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myininaya (myininaya):
\[x^2-4x+(\frac{-4}{2})^2=1+(\frac{-4}{2})^2\]
\[x^2-4x+4=1+4\]
\[(x-2)^2=5\]
\[x-2=\pm \sqrt{5}\]
now just add 2 to both sides
myininaya (myininaya):
\[x=2 \pm \sqrt{5}\]
OpenStudy (anonymous):
Yes, all, as long as there is 1 next to x^2 terms
OpenStudy (anonymous):
for example
x^2 + 8x= -3?
run me through that one please.. im sorry
OpenStudy (anonymous):
half of 8 is 4
square of 4 is 16
So 16
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OpenStudy (anonymous):
okay thank you:) im a new fan
OpenStudy (anonymous):
x^2-4x = 1 x^2 - 4x -1 = 0 you want to have: (x-2)^2 = (2-x)^2 = x^2 + 4 - 4x so you must add 5 to -1 X^2 -4= 1+5
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