a+b+c=-10,a²+b²+c²=8 find ab+bc+ca
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1
Answer:
46
Step-by-step explanation:
given that ;
a+b+c = -10 ; a^2 + b^2 + c^2 =8 ;
we know that ; (a+b+ c)^2 = a^2+ b^2+c^2
+2(ab+bc+ac)
=( -10)^2= 8+ 2(ab +bc + ac)
= 100 -8 = 2( ab+bc+ac)
ab + bc + ac = 92/2
ab + bc + ac = 46
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