if a square + b square + c square =250 and ab+bc+ca=3,find a+b+c
Asked by amikha s | 6th Sep, 2012, 11:40: AM
Expert Answer:
It is known that (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)
(a + b + c)2 = 250 + 2 × 3 = 250 + 6 = 256
a + b + c = ±
= ±16 = 16 or -16
It is known that (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)
(a + b + c)2 = 250 + 2 × 3 = 250 + 6 = 256
a + b + c = ± = ±16 = 16 or -16
Answered by | 6th Sep, 2012, 12:15: PM
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