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vekshin1
3 years ago
14

Using the quadratic formula to solve x2 = 5-x, what are the values of x?

Mathematics
2 answers:
Alexus [3.1K]3 years ago
8 0

Answer:

A) (-1 ± √21)/ 2

Step-by-step explanation:

Move all terms onto one side

          x^{2} = 5-x

x^{2} + x - 5 = 0

Insert values into quadratic formula

a = 1      b= 1     c= - 5

[-b ± √(b^{2} - 4ac)]/2a

[-1 ± √(1^{2} - 4 (1(-5)]/ 2(1)

(-1 ± √21)/ 2

kodGreya [7K]3 years ago
5 0

Answer:

its the first choice, negative 1 plus or minus square root of 21 over 2

Step-by-step explanation:

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ABC Car Share Inc. offers car sharing for a $199 yearly fee plus $14/hr for the use of its car share. What equation models the t
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6 0
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Answer:  The proof is done below.

Step-by-step explanation:  Given that U and V are subspaces of a vector space W.

We are to prove that the intersection U ∩ V is also a subspace of W.

(a) Since U and V are subspaces of the vector space W, so we must have

0 ∈ U and 0 ∈ V.

Then, 0 ∈ U ∩ V.

That is, zero vector is in the intersection of U and V.

(b) Now, let x, y ∈ U ∩ V.

This implies that x ∈ U, x ∈ V, y ∈ U and y ∈ V.

Since U and V are subspaces of U and V, so we get

x + y ∈ U  and  x + y ∈ V.

This implies that x + y ∈ U ∩ V.

(c) Also, for a ∈ R (a real number), we have

ax ∈ U and ax ∈ V (since U and V are subspaces of W).

So, ax ∈ U∩ V.

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x + y and ax ∈ U ∩ V.

Thus, U ∩ V is also a subspace of W.

Hence proved.

7 0
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