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Ksivusya [100]
2 years ago
8

(x+1)^2+(x-1)^2-2x(x+2)=0

Mathematics
1 answer:
antoniya [11.8K]2 years ago
8 0

Answer:

x = 1/2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

  • (x+1)^2+(x-1)^2-2x(x+2)=0
  • x^2 + 2x + 1 + x^2 - 2x + 1 -2x^2 -4x = 0
  • (x^2 + x^2-2x^2) + (2x-2x-4x)+(1+1)=0
  • -4x + 2 = 0

Step 2: Subtract 2 from both sides.

  • -4x + 2 - 2 = 0 - 2
  • -4x = -2

Step 3: Divide both sides by -4.

  • \frac{-4x}{-4} = \frac{-2}{-4}
  • x = \frac{1}{2}
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Answer:

1/6

Step-by-step explanation:

For a set of vectors a, b and c to be linearly dependent, the linear combination of the set of vectors must be zero.

C1a + C2b + C3c = 0

From the question, we are given the set S={u−3v,v−2w,w−ku}, the corresponding vectors are a(0, -3, 1), b(-2,1,0) and c(1,0,-k)

The values in parenthesis are the ccoefficients of w, v and u respectively.

On writing this vector as a linear combination, we will have;

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From equation 2, 3C1 = C2

Substituting into 1, -2(3C1)+C3 = 0

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Substitute 4 into 3 to have

C1-k(6C1) = 0

C1 = k6C1

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k = 1/6

Hence the value of k for the set of vectors to be linearly dependent is 1/6

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