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Mathematics 8 Online
OpenStudy (diana.xl):

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OpenStudy (diana.xl):

@MARC_

OpenStudy (anonymous):

Example

OpenStudy (anonymous):

Now the question is asking which value of x can make the denominator become zero

OpenStudy (anonymous):

-1/4 is not the answer

OpenStudy (diana.xl):

i tried them and 1/4 made it 0

OpenStudy (anonymous):

*1/4

OpenStudy (anonymous):

well try substitute option A into \[\frac{ 8x-2 }{ 5x+1 }\]

OpenStudy (anonymous):

\[=\frac{ 8(-\frac{ 1 }{ 5 })-2 }{ 5(-\frac{ 1 }{ 5 })+1 }\]

OpenStudy (anonymous):

\[=\frac{ -\frac{ 8 }{ 5 }-2 }{ -1+1 }\]

OpenStudy (anonymous):

\[=\frac{ -2\frac{ 8 }{ 5 } }{ 0 }\]

OpenStudy (anonymous):

\[=\frac{ \color{red}{-2\frac{ 8 }{ 5 }} }{ 0 }\]convert the mixed number into proper fraction

OpenStudy (anonymous):

*improper fraction

OpenStudy (anonymous):

\[=\frac{ -\frac{ 18 }{ 5 } }{ 0 }\]

OpenStudy (anonymous):

\[=-\frac{ 18 }{ 5 }\div \frac{ 0 }{ 1 }\]

OpenStudy (anonymous):

\[=-\frac{ 18 }{5 }\times \frac{ 1 }{ 0 }\]

OpenStudy (anonymous):

\[=-\frac{ 18\times1 }{ 5\times0 }\]

OpenStudy (anonymous):

\[=-\frac{ ? }{ ? }\]solve it @Diana.xL

OpenStudy (diana.xl):

i think its undefined

OpenStudy (anonymous):

option C is wrong bocz the numerator is zero not the denominator\[=\frac{ 8(\frac{ 1 }{ 4 })-2 }{ 5(\frac{ 1 }{ 4 })+1 }\]\[=\frac{ 2-2 }{ \frac{ 5 }{ 4 }+1 }\]\[=\frac{ 0 }{ 9 }\]

OpenStudy (anonymous):

yes it's undefined and we know option A cause the denominator of the following expression to be zero..

OpenStudy (anonymous):

For second question is correct...\[\frac{ x-3 }{ 2x^2+4x }\]\[2x^2+4x=0\]\[2x(x+2)=0\]\[2x=0,x+2=0\]\[Therefore,x \neq0~and~x \neq-2\]

OpenStudy (diana.xl):

is the last question correct?

OpenStudy (anonymous):

yes \[12x^{20}+27x^5\]\[3x^5(4x^{15}+9)\]

OpenStudy (diana.xl):

thnx

OpenStudy (anonymous):

yw

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