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Mathematics 22 Online
OpenStudy (anonymous):

x^(2)+(2)/(3)x+_=

myininaya (myininaya):

i don't understand

OpenStudy (anonymous):

i have to find the missing number

OpenStudy (anonymous):

OpenStudy (anonymous):

ok new guess. i am going to guess \[\_=\frac{1}{9}\]

myininaya (myininaya):

we need some info what you are doing are you trying to figure out what that blank is such that we cancomplete the square perhaps

OpenStudy (anonymous):

i should take this act on the road. guess the question...

OpenStudy (anonymous):

im trying to complete the square x^(2)+(2)/(3)x+_=(x+_)^(2)

OpenStudy (turingtest):

sat lol

myininaya (myininaya):

\[x^2+\frac{2}{3}x+(\frac{2}{3 \cdot 2})^2=(x+\frac{2}{3 \cdot 2})^2\]

OpenStudy (anonymous):

\[\frac{2}{3\times 2}\]?

myininaya (myininaya):

i'm showing what i'm doing

myininaya (myininaya):

dividing middle term's coefficient by two and then squaring

OpenStudy (turingtest):

obviously \[x^2+{2\over3}x+({1\over3})^2=x^2+{2\over3}x+{1\over9}\]

OpenStudy (turingtest):

\[x^2+{2\over3}x+{1\over9}=(x+{1\over3})^2\]so the numbers you want are 1/9 and 1/3 respectively.

OpenStudy (turingtest):

Hey, satellite is psychic after all! lol

OpenStudy (anonymous):

thnks to turning test can u help me out with another pleaseeeee

OpenStudy (anonymous):

x^(2)+(3)/(4)x+__=(x+__)^(2)

myininaya (myininaya):

\[x^2+\frac{3}{4}x+(\frac{3}{4 \cdot 2})^2=(x+\frac{3}{4 \cdot 2})^2\]

myininaya (myininaya):

its the exact same process i mentioned above

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