Question

10. find a²+b² + C²-ab-bc-ca if a=2014x+2012.
b: 20l4x+ 2013 and C= 2014x + 2014.​

Answer 1

QUESTION:-

10. find a²+b² + C²-ab-bc-ca if a=2014x+2012.

b: 20l4x+ 2013 and C= 2014x + 2014.

ANSWER:-

We know that,

(a+b+c)² = a²+b²+c²+2ab+2bc+2ca

Let’s take

x = (a+b+c)²

y = a²+b²+c²

z = ab+bc+ca

therefore,

x = y+2z……………………….. (1)

by given condition,

5 (a²+b²+c²) = 4 (ab+bc+ca)

5y = 4z………………………… (2)

We have 2 eqns and 3 unknowns,

(1)…… x - y - 2z = 0

(2)….. 0x + 5y – 4z = 0

Using the formula,

Let’s say,

Then,

(x, y, z) = (14k, 4k, 5k) where k = 0, 1, 2, 3 ……. N

Therefore,

x = 14k

(a+b+c)² = 14k

(a+b+c) = √14k, where k = 0, 1, 2, 3 …….n

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Answer 2

Answer:

AnsweR:

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