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maw [93]
3 years ago
10

Eloise started to solve a radical equation in this way: Square root of negative 2x plus 1 − 3 = x Square root of negative 2x plu

s 1 − 3 + 3 = x + 3 Square root of negative 2x plus 1 = x + 3 Square root of negative 2x plus 1 − 1 = x + 3 − 1 Square root of negative 2 x = x + 2 ( Square root of negative 2 x )2 = (x − 4)2 −2x = x2 − 8x + 16 −2x + 2x = x2 + 8x + 16 + 2x 0 = x2 + 10x + 16 0 = (x + 2)(x + 8) x + 2 = 0 x + 8 = 0 x + 2 − 2 = 0 − 2 x + 8 − 8 = 0 − 8 x = −2 x = −8 Both solutions are extraneous because they don't satisfy the original equation. What error did Eloise make?

Mathematics
2 answers:
olga_2 [115]3 years ago
8 0
 Square root of negative 2x plus 1 − 3 = x

 ((-2x+1 ^1/2)-3=x

Eloise procedure

((-2x+1) ^1/2)-3=x------ok

((-2x+1) ^1/2)-3+3=x+3-----ok

((-2x+1) ^1/2)=x+3-----------ok

((-2x+1-1) ^1/2)=x+3-1---------->this is the error

 the correct is ((-2x+1) ^1/2)-1=x+3-1

 I solve correctly

((-2x+1) ^1/2)=x+3------------((-2x+1) ^1/2) ^2=(x+3) ^2

(-2x+1) =(x+3) ^2

-2x+1=x^2+6x+9

 -x^2+8x+8=0

solving the quadratic equation

x1=-6.828

x2=-1.172

<span> the solution is x=-1.172  </span>

see attached graph to check

SOVA2 [1]3 years ago
5 0
Eloise made these steps well:
 Square root of negative 2x plus 1 - 3 = x
 Square root of negative 2x plus 1 - 3 + 3 = x + 3
 The error comes in the next step:
 Square root of negative 2x plus 1 = x + 3
 Square root of negative 2x plus 1 -1 = x + 3 - 1
 Square root of negative 2x  = x + 2
 the number one is inside the root, therefore they can not be subtracted.
 answer
 error in the step:
  Square root of negative 2x  = x + 2

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2 years ago
With a certain tail wind a jet aircraft arrives at its destination, 1,890 miles away, in 3 hours. Flying against the same wind,
Gelneren [198K]
<span>Find the wind speed and the plane's airspeed.
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Let s = speed of the plane in still air
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then
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It is convenient that we can simplify both these equations:
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3 0
3 years ago
The first and fourth terms of a proportion are called the means.
expeople1 [14]

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Step-by-step explanation:

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6 0
1 year ago
Points 50
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-2x + 4.4 = 23.8

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8 0
3 years ago
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The quotient in polynomial form is C. x² - x ₊ 1.

<h3>What is synthetic division?</h3>

In algebra, synthetic division is a method for manually performing Euclidean division of polynomials, with less calculation than long division.

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-3 | 1  2  -2  3

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So, the remainder from the calculation is 6 .

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More about Synthetic division method :

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