x+y+z=15
xy+yz+zx =?
x² + y2 +z2
= 77
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Answer:
(x+y+z)²=x²+y²+z²+2(xy+yz+zx)
(15)²=77+2(xy+yz+zx)
225=77+2(xy+yz+zx)
225-77=148=2(xy+yz+zx)
148/2=74=xy+yz+zx
74=xy+yz+zx
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