xxfreshboy
Find conman solution algebraically and express itrrational roots in simplest radical form.
x^2+y^2=24
x+y=8



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shubhamsrg
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where are you stuck ?

xxfreshboy
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I dont know anything at all to be honest.

xxfreshboy
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About this topic.

abcabc
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You could start with thes second equation and find an expression for x= (or y= if you choose) and then substitute that into the first equation.

xxfreshboy
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I dont get anything =/ second all Just go to shift x to other side right and makes t y=x8

cinar
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y=8x

cinar
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x^2+(8x)^2=24

cinar
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x^2+6416x+x^2=24

cinar
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2x^216x+40=0

cinar
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x^28x+20=0

xxfreshboy
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so y cnt be x8 but has to 8x?

cinar
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yes..

cinar
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(x10)(x+2)=0
x=10
x=2

xxfreshboy
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so those will be the solutions right?

cinar
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find b's also..

cinar
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I meant y

cinar
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because these eq. are two variable..

xxfreshboy
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could you just guide me through like what to do?

cinar
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choose one of the eq. it does not matter which one, x+y=8 is easier one
than put for x=10 find y
for x=2 find y

xxfreshboy
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thank you!

cinar
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hold on I made a mistake..

cinar
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until this it is true, but I made a mistake when I factored it out..
x^28x+20=0

cinar
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ax^2+bx+c=0
d=b^24ac
d=8^24*1*20=16<0 no real solution..

cinar
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it means that they are not crossing each other..

cinar
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sorry about that..

cinar
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root are complex number..

xxfreshboy
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its okay thanks for your time, really appreciate all this walk through.


cinar
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you can see it here

xxfreshboy
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yes thank you!

cinar
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np