Ask your own question, for FREE!
Mathematics 14 Online
OpenStudy (anonymous):

Solve the following proportion: (Problem in comments...)

OpenStudy (anonymous):

\[\frac{ x+1 }{ 7 } = \frac{ 8 }{ x }\]

ganeshie8 (ganeshie8):

First remember this : cross multiplying always gives u an EQUATION.

ganeshie8 (ganeshie8):

An equation will have left side, and a right side.

OpenStudy (anonymous):

The answer is x=-8 & x=7?

OpenStudy (anonymous):

x^2+x=56 U get a quadratic equation

ganeshie8 (ganeshie8):

Correct !

OpenStudy (anonymous):

Thank you!

OpenStudy (anonymous):

(x+0.5)^2=56 U can solve by completing the square

ganeshie8 (ganeshie8):

np :)

OpenStudy (anonymous):

That seem sooo much more difficult lol @UDIT123

OpenStudy (anonymous):

How did u get it otherwise??????????????????????????/

ganeshie8 (ganeshie8):

lol thats how u did also it rightt ?

ganeshie8 (ganeshie8):

Oh, you have factored it, nice :)

OpenStudy (anonymous):

yes u will get a quadratic equation anyhow u do it

ganeshie8 (ganeshie8):

yup

OpenStudy (anonymous):

How did cookibibabi do it then??

ganeshie8 (ganeshie8):

must have factored it instead of completing the square

ganeshie8 (ganeshie8):

like she/he was doing in her/his earlier problems :)

OpenStudy (anonymous):

did u solve that cokkibaiba

OpenStudy (anonymous):

lol I'm a girl & yea, nobody got time for squares lol

OpenStudy (anonymous):

That is simplest method BY THE WAY

ganeshie8 (ganeshie8):

thats cleaver, girly ;)

OpenStudy (anonymous):

lol My way is waaaay easier & less confusing & with less squares lol

ganeshie8 (ganeshie8):

order of preference : 1) factoring/special trinomials 2) completing the square/quadratic formula

OpenStudy (anonymous):

this is how I did it...

ganeshie8 (ganeshie8):

yes i try factoring first too lol

OpenStudy (anonymous):

x^2+x-56=0 x^2+8x-7x-56=0 x(x-8)+7(x-8)=0 (x+7)(x-8)=0 x=-7 or 8

ganeshie8 (ganeshie8):

generally we factor this in one step : x^2+x-56=0 (x+8)(x-7) = 0

OpenStudy (anonymous):

\[\frac{ x+1 }{ 7 } = \frac{ 8 }{ x }\] \[\frac{ x(x+1) }{ 8(7) }\] \[x^2+x-56=0\] (x+8)(x-7)=0 x=-8, x=7

ganeshie8 (ganeshie8):

splitting x terms is not needed here cuz the leading coefficient is 1 @UDIT123 ofc it helps in seeing how it is getting factored out though.. .

OpenStudy (anonymous):

she used theorem on equal ratios

ganeshie8 (ganeshie8):

hmm-

OpenStudy (anonymous):

That's how my professor taught us lol

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!