Furkan151997rans
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x+y-z=10 , xy-xz-yz=29 ise x kare+ y kare+ z kare toplamı kaçtır?

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Rvydygtsy58rans

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Dogukandgrans

x+y-z=10 , xy-xz-yz=29 veriliyor ve x^2+y^2+z^2 sorulyor.


x+y-z'nin karesini al (x+y-z)^2= x^2+y^2+z^2+ 2(xy-xz-yz)

x+y-z=10 ve xy-xz-yz=29 ise


(10)^2=x^2+y^2+z^2 + 2(29)

100=x^2+y^2+z^2 + 58

x^2+y^2+z^2=100-58 = 42

x^2+y^2+z^2=42


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