Question

If a = -8 b = -7 c = 6 find a + b + c If a = -8 b = -7 c = 6 find a + b + c​

Answer 1

Answer:

-9

Step-by-step explanation:

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Answer 2

Answer:

Given that a+b+c=6

we know that A.M.≥G.M.

⟹

2

x+y

≥

xy

let x=4a+1,y=1

therefore,

2

4a+1+1

≥

(4a+1)(1)

⟹

2

4a+2

≥

4a+1

⟹2a+1≥

4a+1

⟹

4a+1

≤2a+1 --------(1)

similarly,

4b+1

≤2b+1 --------(2)

and

4c+1

≤2c+1 --------(3)

adding (1), (2) and (3) we get

4a+1

+

4b+1

+

4c+1

≤2a+1+2b+1+2c+1

⟹

4a+1

+

4b+1

+

4c+1

≤2(a+b+c)+3

⟹

4a+1

+

4b+1

+

4c+1

≤2(3)+3

⟹

4a+1

+

4b+1

+

4c+1

≤9

therefore, the greatest value of

4a+1

+

4b+1

+

4c+1

is 9

Step-by-step explanation:

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