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Mathematics 6 Online
OpenStudy (anonymous):

if graphing and factoring are applied to solve x^2+6x=-9, what could be the solution?

OpenStudy (anonymous):

Another question, What could be the value of C that makes r^2-9r+C a perfect square?

OpenStudy (anonymous):

?????????????

OpenStudy (unklerhaukus):

?=

OpenStudy (anonymous):

what is the answer?

OpenStudy (unklerhaukus):

|dw:1359880925866:dw|

OpenStudy (unklerhaukus):

|dw:1359880961188:dw|

OpenStudy (anonymous):

is that AC test?

OpenStudy (unklerhaukus):

\[(x+a)^2=x^2+xa+ax+a^2=x^2+2ax+a^2\]

OpenStudy (anonymous):

so the answer is +3?

OpenStudy (unklerhaukus):

yes \(x=3\) is the solution to the first equation

OpenStudy (anonymous):

thank you

OpenStudy (anonymous):

What could be the value of C that makes r^2-9r+C a perfect square?

OpenStudy (unklerhaukus):

its a perfect square when\[r^2-9r+C=0\]\[r^2-2\times\frac92r+\sqrt C^2=0\]

OpenStudy (kropot72):

The answer to the first question is x = -3.

OpenStudy (unklerhaukus):

your right @kropot72

OpenStudy (kropot72):

Cool :)

OpenStudy (unklerhaukus):

we found \[(x+3)^2=0\]for this to be true \(x=-3\) (not +3)

OpenStudy (anonymous):

please simplify the answer in the second question i cannot understand

OpenStudy (kropot72):

This is a partial graph of y = x^2 + 6x + 9 to give a graphical solution to the first question. |dw:1359882230506:dw|

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