if a+b+c=5 and ab+bc+ca=12 find a2+b2+c2. a square + b square + c square
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HEY MATE,________________↓↓↓
GIVEN,
a + b + c = 5
⇒(a + b + c)² = 5²
⇒a² + b² + c² + 2ab + 2bc + 2ca = 25
⇒a² + b² + c² + 2(ab + bc + ca) = 25
⇒a² + b² + c² + 2 × 12 = 25
⇒a² + b² + c² + 24. = 25
⇒a² + b² + c² = 25 - 24
⇒a² + b² + c² = 1
_________________________
_________________________
HOPE IT HELPS ☺☺✌
GIVEN,
a + b + c = 5
⇒(a + b + c)² = 5²
⇒a² + b² + c² + 2ab + 2bc + 2ca = 25
⇒a² + b² + c² + 2(ab + bc + ca) = 25
⇒a² + b² + c² + 2 × 12 = 25
⇒a² + b² + c² + 24. = 25
⇒a² + b² + c² = 25 - 24
⇒a² + b² + c² = 1
_________________________
_________________________
HOPE IT HELPS ☺☺✌
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