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Properties of Addition of Integers

19. If a,b,c ...

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19. If a,b,c are real numbers such that a + 2b=7, b+4c=-7 and c+6a=-14 , find a+b+c=

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a^{2} + 2 b = 7, b^{2} + 4 c = - 7 a n d c^{2} + 6 a = - 14

then the value of

(a^{2} + b^{2} + c^{2})

a^{2} + 2 b = 7, b^{2} + 4 c = - 7

c^{2} + 6 a = - 14,

then the value of

(a^{2} + b^{2} + c^{2})

If a, b, and c are nonzero real numbers such that ab = 2 (a + b), bc = 3( b + c) and ca = 4 (c + a) then the value of 5a + 7b + c is :

a, b

c

be three real numbers, such that

a + 2 b + 4 c = 0

. Then the equation

a x^{2} + b x + c = 0

Q. If a, b, c are positive real number such that a = b+ c = 18, the find the maxiumum valuye

a^{2} b^{3} C^{4}

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