if a²+b²+c²=35 and ab+bc+ac=23, find a+b+c with step also
Answers
Answered by
2
Answer:
(a+b+c)
2
=a
2
+b
2
+c
2
+2(ab+bc+ca)
(a+b+c)
2
=35+2(23)
(a+b+c)=
35+46
=
81
a+b+c=9answer
Answered by
3
Answer:
We know,
(a+b+c)
2
=a
2
+b
2
+c
2
+2ab+2bc+2ca
Given,
a
2
+b
2
+c
2
=35 and
ab+bc+ca=23
Therefore,
=>(a+b+c)
2
=35+2(23)
=>(a+b+c)
2
=35+46
=>(a+b+c)
2
=81
=>(a+b+c)=
81
=>(a+b+c)=±9
Step-by-step explanation:
THIS IS THE RIGHT ANSWER
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