(sqrt2z+6)+(sqrtz+4)-(sqrt8z+9)=0
\((\sqrt{2z}+6)+(\sqrt{z}+4)-(\sqrt{8z}+9)=0\) Is this the question?
yes thats the question to be solved. thnx
\(\sqrt{8z}=\sqrt{2*2*2*z}\) \(=2\sqrt{2z}\) \((\sqrt{2z}+6)+(\sqrt{z}+4)-(2\sqrt{2z}+9)=0\) \(\sqrt{2z}+6+\sqrt{z}+4-2\sqrt{2z}-9=0\) This simplifies to \(1+\sqrt{z}-\sqrt{2z}=0\) \(\sqrt{2z}-\sqrt{z}=1\) Factor out \(\sqrt{z}\). Then u will get \(\sqrt{z}(\sqrt{2}-1)=1\) Square both sides and solve for z. Can u do it @yayimoakamie?
ok thnx let me give it a try
sure:)
is the final answer z=1
Hmm no.
Did u round off ur answr?
@yayimoakamie
no
i got it wrong then
yup. \((\sqrt2-1)^2=(\sqrt2)^2-2*\sqrt2*1+1^2\) \(=2-2\sqrt2+1\) \(=3-2\sqrt2\) \((\sqrt z)^2=z\) \(z(3-2\sqrt2)=1\) \(z=\LARGE\frac{1}{3-2\sqrt2}\) Getting this @yayimoakamie?
Thnx Ajprincess for your help appreciated
yw:) do u understand it?
honestly i am lost
Tell me where u r lost?
why is the square root not affecting the constants but just the variables
Sorry. I dnt get ur question.
can u plz show where it is nt being affected?
@yayimoakamie
sorry what i mean is d constants 6+4+9 were not affected by the root
in ur original question square root is for only z right? That is y they are not being affected.
when u solve an equation u solve for the variable. the variable should be alone without square root or anything.
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