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Mathematics 19 Online
OpenStudy (anonymous):

HELP ME

OpenStudy (anonymous):

\[\sqrt{5X+1}-\sqrt{X}=5?\]

OpenStudy (anonymous):

NEED SOLUTION solve for x

OpenStudy (anonymous):

\[\sqrt{5x+1}=5+\sqrt{X}\]

OpenStudy (hba):

1) add sqrt(x) on both sides 2) Squaring both sides

OpenStudy (anonymous):

ready

OpenStudy (hba):

What ?

OpenStudy (unklerhaukus):

ready , set , go!

OpenStudy (anonymous):

ll be 5x+1=25+x

OpenStudy (hba):

No Use (a+b)^2=a^2+2ab+b^2

OpenStudy (anonymous):

okay ll be 5x+1=(5+\[\sqrt{x}\])^2

OpenStudy (hba):

Now use the formula ?

OpenStudy (anonymous):

\[5x+1=(5+\sqrt{x})^2\]

OpenStudy (anonymous):

im i r8?@hba

OpenStudy (hba):

Yes but now use (a+b)^2=a^2+2ab+b^2 what will [5+sqrt(x)]^2 be ?

OpenStudy (anonymous):

ll be \[(5+\sqrt{x})^2=25+10\sqrt{x}+x\]

OpenStudy (hba):

Put it in your question now.

OpenStudy (anonymous):

ll be\[5x+1=25+10\sqrt{x}+x\]

OpenStudy (anonymous):

then bro?

OpenStudy (anonymous):

\[5x-x=25-1+10\sqrt{x}\]

OpenStudy (anonymous):

\[4x=24+10\sqrt{x}\]

OpenStudy (anonymous):

then?

OpenStudy (hba):

4x-24=10sqrt(x) 2(2x-12)=10sqrt(x) 2x-12=10sqrt(x)/2 2x-12=5sqrt(x) Now Use Squaring both sides again.

OpenStudy (anonymous):

\[(2x-12)^2=5\]

OpenStudy (anonymous):

\[4x^2+48x+144=5\]

OpenStudy (anonymous):

\[4x^2+48x+139=0\]

OpenStudy (anonymous):

can we use\[x=(-b \pm \sqrt{b^2-4ac})/2a?\]

OpenStudy (hba):

Now use Quad formula or Breaking the middle term or Completing the square method

OpenStudy (hba):

Yes you can use Quad formula :)

OpenStudy (hba):

No don't be lazy :/

OpenStudy (hba):

@mustry Start working.

OpenStudy (anonymous):

\[x=(-48\pm \sqrt{2304-2224})/8\]

OpenStudy (anonymous):

\[x=(-48\pm \sqrt{80})/8\]

OpenStudy (hba):

I guess you can simplify it further

OpenStudy (hba):

@mustry I guess you are done :P

OpenStudy (anonymous):

\[x=(-48\pm8.9)/8\]

OpenStudy (anonymous):

the answer have been given to be either 0 or 16

OpenStudy (anonymous):

when u put 16 u ll get correct but how can we get it please

OpenStudy (hba):

I can only instruct you :/

OpenStudy (anonymous):

okay

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