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Lilit [14]
1 year ago
12

Solve over the set of real numbers for the equation below x-2=√2x-1

Mathematics
1 answer:
Anon25 [30]1 year ago
6 0

The set of real numbers for the equation x – 2 = √(2x – 1) will be 5.

<h3>What is the solution of the equation?</h3>

The solution of the equation means the value of the unknown or variable.

The equation is given below.

x – 2 = √(2x – 1)

Square on both side, then we have

               (x – 2)² = 2x – 1

         x² – 4x + 4 = 2x – 1

         x² – 6x + 5 = 0

   x² – 5x – x + 5 = 0

x(x – 5) – 1(x – 5) = 0

       (x – 5)(x – 1) = 0

                         x = 1, 5

The set of real numbers for the equation x – 2 = √(2x – 1) will be 5.

More about the solution of the equation link is given below.

brainly.com/question/545403

#SPJ1

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Margie has 5 times as many nickels as quarters. She has a total of $2.00.
stich3 [128]

Answer:

<u>Part A: </u>

<u>n = 5q (1st equation)</u>

<u>0.05n + 0.25q = 2 (2nd equation)</u>

<u>Part B:</u>

<u>q = 4 ⇒ n = 5 * 4 = 20</u>

<u>Part C:</u>

<u>Margie has 20 nickels and 4 quarters, for a total of $ 2.00</u>

Step-by-step explanation:

Let's recall that a nickel has a value of $ 0.05 and a quarter a value of $ 0.25.

Let n represent the number of nickels and q represent the number of quarters.

Part A:

Write a system of equations to represent the situation.

n = 5q (1st equation)

n * 0.05 + q * 0.25 = 2

0.05n + 0.25q = 2 (2nd equation)

Part B:

Replacing n in the 2nd equation to solve for q:

0.05n + 0.25q = 2

0.05 * 5q + 0.25q = 2

0.25q + 0.25q = 2

0.5q = 2

q = 2/0.5

<u>q = 4 ⇒ n = 5 * 4 = 20</u>

<u>Part C:</u>

<u>Margie has 20 nickels and 4 quarters, for a total of $ 2.00</u>

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3 years ago
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B is correct ..............
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<u>Answer:</u>

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Step-by-step explanation:

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