if a+b+c=0 and a^2+b^2+c^2=16, find the value of ab+bc+ac
Answers
Answered by
79
Hi there!
Given :-
→ a + b + c = 0
→ a² + b² + c² = 16
We know that :-
(a + b + c)² = a² + b² + c² + 2(ab + bc + ac)
On substituting th' terms,
0² = 16 + 2(ab + bc + ac)
2(ab + bc + ac) = -16
ab + bc + ac = -16 / 2
ab + bc + ac = -8
Hence, The required answer is :-
ab + bc + ac = -8
Hope it helps! :)
Given :-
→ a + b + c = 0
→ a² + b² + c² = 16
We know that :-
(a + b + c)² = a² + b² + c² + 2(ab + bc + ac)
On substituting th' terms,
0² = 16 + 2(ab + bc + ac)
2(ab + bc + ac) = -16
ab + bc + ac = -16 / 2
ab + bc + ac = -8
Hence, The required answer is :-
ab + bc + ac = -8
Hope it helps! :)
Answered by
61
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