If a²+b²+c² = 250 and ab+bc+ca =3, then find a+b+c
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Answer:
Step-by-step (a+b+c)² =a²+b²+c²+2ab+2bc+2ca
(a+b+c)² =a²+b²+c²+2(ab+bc+ca)
Put the value of a²+b²+c² and ab+bc+ca which is given in the question then
(a+b+c)²= 250+2*3
(a+b+c)²= 256
then , a+b+c= (256)½
Hence a+b+c= 16
Since 16 is the square root of 256.
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Answer:
Step-by-step explanation:
±16 is the answer
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