2 years ago

The sum od the squares of two consecutive even integers is 164. Find the integers.

1 answer:

7 0

Let x be the smaller integer, then x+2 is the larger integer.
We're given
x^2+(x+2)^2=164
Expand and simplify
2x^2+4x+4=164
x^2+2x-80=0
(x-8)(x+10)=0
=> x=-10 or x=8.

Therefore the integers are{8,10} or {-10,-8}.
Note: question asks for integers, so negative integers count.

You might be interested in

A home improvement store advertises 50 square feet of flooring for $300.00 including a $100.00 installation fee. How much does e

dimulka [17.4K]

$6 . It will cost $6 because spending 6 dollars , 50 times will equal $300

3 0

2 years ago

Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solutio

kolbaska11 [484]

4.5x - 9.5 > 62.5
4.5x > 62.5 + 9.5
4.5x > 72
x > 72/4.5
x > 16 <==

4 0

3 years ago

Read 2 more answers

You want to place a towel bar that is 10 1⁄4 inches long in the center of a door that is 26 1⁄3 inches wide. How far should you

mestny [16]

$\frac{26 \frac{1}{3} -10 \frac{1}{4}}{2}=\\ \frac{ \frac{79}{3} - \frac{41}{4} }{2} =\\ \frac{ \frac{79}{3} * \frac{4}{4} - \frac{41}{4} * \frac{3}{3} }{2} =\\ \frac{ \frac{356}{12}- \frac{123}{12} }{2} =\\ \frac{ \frac{233}{12} }{2} =\\ \frac{233}{24} =\\ 9\frac{17}{24}$

9 17/24 inches.

8 0

3 years ago

Read 2 more answers

Please answer thanks u

kherson [118]

Answer: A is the answer

Explanation: A plane consist of 3 point but it can also be called by one specific point. And in the figure A there is one specific point. We can call it plane A

6 0

3 years ago

Kameron has 9 video games at his house. This is half as many games as Kevin has. Write an equation that demonstrates the relatio

Illusion [34]

Answer:

The answer is 18

Step-by-step explanation: Because 9 + 9 = 18 so therefore Kameron and Kevin has 27 video game in total :/

6 0

3 years ago