Question

solve the following if x+y+z=15 and x2+y2 +z2=75 find the value xy+yz +zx

Answer 1

Answer:

75

Step-by-step explanation:

(x+y+z)²=x²+y²+z²+2(xy+yz+zx)

=>15²=75+2(xy+yz+zx)

=>225=75+2(xy+yz+zx)

=>2(xy+yz+zx)=150

=>xy+yz+zx=150/2

=>xy+yz+zx=75

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