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dangina [55]
3 years ago
14

Find two consecutive positive integers such that the square of the first decreased by 17 equals 4 times the second.

Mathematics
1 answer:
Zina [86]3 years ago
3 0

Answer:

The two consecutive positive integers are 7 and 8

Step-by-step explanation:

Let

x ----> the first positive integer

x+1 ----> the second consecutive positive integer

we know that

x^{2} -17=4(x+1)

Solve for x

x^{2} -17=4x+4\\ \\x^{2}-4x-21=0

Solve the quadratic equation by graphing

The solution is x=7

see the attached figure

Find the value of x+1

x+1=7+1=8

therefore

The two consecutive positive integers are 7 and 8

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ankoles [38]
X is the amount of distilled water that must be added (in milliliters)
2/(100+x)=9/(1000)
2000=900+9x
1100=9x
122.22=x
x= 122
The answer is 122 milliliters of distilled water must be added
3 0
3 years ago
What two numbers have a product of -2 and a sum of 7
Citrus2011 [14]

<em>Greetings from Brasil...</em>

According to the statement of the question, we can assemble the following system of equation:

X · Y = - 2      i

X + Y = 7       ii

isolating X from i and replacing in ii:

X · Y = - 2

X = - 2/Y

X + Y = 7

(- 2/Y) + Y = 7     <em>multiplying everything by Y</em>

(- 2Y/Y) + Y·Y = 7·Y

- 2 + Y² = 7X     <em> rearranging everything</em>

Y² - 7X - 2 = 0      <em>2nd degree equation</em>

Δ = b² - 4·a·c

Δ = (- 7)² - 4·1·(- 2)

Δ = 49 + 8

Δ = 57

X = (- b ± √Δ)/2a

X' = (- (- 7) ± √57)/2·1

X' = (7 + √57)/2

X' = (7 - √57)/2

So, the numbers are:

<h2>(7 + √57)/2</h2>

and

<h2>(7 - √57)/2</h2>
7 0
3 years ago
What is the simplified expression for the expression below? 4(x + 8) + 5(x – 3)Which expression is equivalent to 6(x – 4)
Mashutka [201]

Answer:4x+32+5x-15

Step-by-step explanation: that’s the simplified equation, you would just have to distribute the 4 to its own equation and the 5 into its own equation.. but i think the second part of ur question is missing..

8 0
2 years ago
A group of 24 students have recess together. They are making teams to play a game. Each team has to have exactly 5 players, and
NARA [144]

Answer:

With 24 players you can only make 4 teams with 5 players each. There will be 4 students left.

Step-by-step explanation:

Divide 24 by 5. Your answer will be 4 with a remainder of 4.

4 0
2 years ago
3
OLEGan [10]

Answer:16

Step-by-step explanation:18- 3=16

3 0
3 years ago
Read 2 more answers
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