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Polynomials

If a2+b2+c2=2...

Question

If a² + b² + c² = 250 and ab + bc + ca = 3, find a + b + c.

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Solution

Recall the formula

Given that

,

Then we have

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If a² + b² + c² = 250 and ab + bc + ca = 3 find a + b + c.

Q2. if a2 +b2+c2=250 and ab+bc+ca=3 find a+b+c

a^{2} + b^{2} + c^{2} = 20

a + b + c = 0

a b + b c + c a

Find $a^{2} + b^{2} + c^{2}; i f a + b + c = 9 a n d a b + b c + c a = 24$

Q. If a² + b² + c² + ab + bc + ca = 89 and (a + b) : (b + c) : (c + a) = 12 : 5 : 3, where a, b and c are real numbers, then (a² + b² + c² – ab – bc – ca) equals

यदि a² + b² + c² + ab + bc + ca = 89 तथा (a + b) : (b + c) : (c + a) = 12 : 5 : 3, जहाँ a, b व c वास्तविक संख्याएँ हैं, तब (a² + b² + c² – ab – bc – ca) बराबर है

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