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Evgesh-ka [11]
3 years ago
8

There is an integer n such that 2n2 − 5n + 2 is prime. To prove the statement it suffices to find a value of n such that (n, 2n2

− 5n + 2) satisfies the property "2n2 − 5n + 2 is prime." Show that you can do this by entering appropriate values for n and 2n2 − 5n + 2.
Mathematics
1 answer:
fomenos3 years ago
7 0

Answer:

n = 0 or 3

Step-by-step explanation:

2n² - 5n + 2

2n² - 4n - n + 2

2n(n - 2) -1(n - 2)

(n - 2)(2n - 1)

Prime number is one which is divisible by itself and 1

n-2 = 1 n = 3

2n-1 = 1 n = 0

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The 400-meter race times at a state track meet are normally distributed with a mean
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Solving 6x²+9x-1=0 by completing the square root method produces an equation in the form of (x+h)²=k find H and K
marishachu [46]

The value of h is 9/12 and the value of k is 35/48

<h3>How to solve the equation?</h3>

The equation is given as:

6x^2 +9x - 1 = 0

Add 1 to both sides of the equations

6x^2 +9x - 1 + 1= 0 + 1

Evaluate the sum

6x^2 +9x =  1

Divide through the equation by 6

x^2 +9/6x =  1/6

Take the coefficient of x

k = 9/6

Divide by 2

k/2 = 9/12

Square both sides

(k/2)^2 = (9/12)^2

So, we add (9/12)^2 to both sides of the equation x^2 +9/6x =  1/6

x^2 +9/6x + (9/12)^2 =  1/6 + (9/12)^2

Next, we express the left-hand side as a perfect square

(x^2 + 9/12)^2 = 1/6 + (9/12)^2

The form of the equation is given as:

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So, we have:

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This gives

k = (8 + 27)/48

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Hence, the value of h is 9/12 and the value of k is 35/48

Read more about completing the square at:

brainly.com/question/4331586

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