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zoolo1

zoolo1

27.07.2020 •

Mathematics

A^2 + b^2 + c^2 = 2(a − b − c) − 3. (1) Calculate the value of 2a − 3b + 4c.

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Ответ:

paigeisawesome

30.01.2022

2a - 3b + 4c = 1

Step-by-step explanation:

Given

a^2 + b^2 + c^2 = 2(a - b - c) - 3

Required

Determine 2a - 3b + 4c

a^2 + b^2 + c^2 = 2(a - b - c) - 3

Open bracket

a^2 + b^2 + c^2 = 2a - 2b - 2c - 3

Equate the equation to 0

a^2 + b^2 + c^2 - 2a + 2b + 2c + 3 = 0

Express 3 as 1 + 1 + 1

a^2 + b^2 + c^2 - 2a + 2b + 2c + 1 + 1 + 1 = 0

Collect like terms

a^2 - 2a + 1 + b^2 + 2b + 1 + c^2 + 2c + 1 = 0

Group each terms

(a^2 - 2a + 1) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0

Factorize (starting with the first bracket)

(a^2 - a -a + 1) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0

(a(a - 1) -1(a - 1)) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0

((a - 1) (a - 1)) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0

((a - 1)^2) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0

((a - 1)^2) + (b^2 + b+b + 1) + (c^2 + 2c + 1) = 0

((a - 1)^2) + (b(b + 1)+1(b + 1)) + (c^2 + 2c + 1) = 0

((a - 1)^2) + ((b + 1)(b + 1)) + (c^2 + 2c + 1) = 0

((a - 1)^2) + ((b + 1)^2) + (c^2 + 2c + 1) = 0

((a - 1)^2) + ((b + 1)^2) + (c^2 + c+c + 1) = 0

((a - 1)^2) + ((b + 1)^2) + (c(c + 1)+1(c + 1)) = 0

((a - 1)^2) + ((b + 1)^2) + ((c + 1)(c + 1)) = 0

((a - 1)^2) + ((b + 1)^2) + ((c + 1)^2) = 0

Express 0 as 0 + 0 + 0

(a - 1)^2 + (b + 1)^2 + (c + 1)^2 = 0 + 0+ 0

By comparison

(a - 1)^2 = 0

(b + 1)^2 = 0

(c + 1)^2 = 0

Solving for (a - 1)^2 = 0

Take square root of both sides

a - 1 = 0

Add 1 to both sides

a - 1 + 1 = 0 + 1

a = 1

Solving for (b + 1)^2 = 0

Take square root of both sides

b + 1 = 0

Subtract 1 from both sides

b + 1 - 1 = 0 - 1

b = -1

Solving for (c + 1)^2 = 0

Take square root of both sides

c + 1 = 0

Subtract 1 from both sides

c + 1 - 1 = 0 - 1

c = -1

Substitute the values of a, b and c in 2a - 3b + 4c

2a - 3b + 4c = 2(1) - 3(-1) + 4(-1)

2a - 3b + 4c = 2 +3 -4

2a - 3b + 4c = 1

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Ответ:

ShadowPlayer3325

16.11.2020

In most cases we treated them negatively (If you of course exclude the pilgrims but that's a totally different issue) but is this tied to a lesson, may you specify so i can give the best answer of my knowledge? I was/am currently learning about Jamestown, Virginia and in that case it was the opposite, they started the mistreatment towards the USA first.

Have a great day, hun!

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