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One number is 7 more than another The sum of the squares of these numbers is 29 Find the Numbers?
Wiki User
∙ 14y ago
-5 and 2, or -2 and 5
But here's a step by step solution of how to get there:
System with two variables:
{x+7=y
{x²+y²=29
Substitution of 1 into 2:
x²+(x+7)²=29
Expansion:
x²+x²+14x+49=29
Simplification:
2x²+14x+20=0
Distribution:
(2x+10)(x+2)=0
Solve for x:
2x+10=0 or x+2=0
2x=-10 or x=-2
x=-5 or x=-2
Solve for y by plugging in x into equation 1 of the system:
-5+7=y or -2+7=y
2=y or 5=y
Check your work:
-5+7=2 AND -5²+2²=29 ü
-2+7=5 AND -2²+5²=29 ü
Final answers:
(-5, 2) AND (-2,5)
Wiki User
∙ 14y ago
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How are perfect squares and irrational squares same?
No. Perfect squares as the squares of the integers, whereas irrational squares as the squares of irrational numbers, but some irrational numbers squared are whole numbers, eg √2 (an irrational number) squared is a whole number.
What is the next number in the sequence 25 36 49 64?
81. They are the perfect squares of numbers starting from 5.81. They are the perfect squares of numbers starting from 5.81. They are the perfect squares of numbers starting from 5.81. They are the perfect squares of numbers starting from 5.
What is a productogon?
it is a triangle with circles at the corners, and squares in the middle of the corners. The squares have numbers in them, and you have to put numbers in the circles. However, the numbers in the circles have to add up to the number of the square between them. Simple, right?
What kind of number do you get if you add the squares of two consecutive triangular numbers?
The square of the second number.
One number is 4 less than eleven times another The sum of the two numbers is 92 Find the numbers?
one number is 4 less than eleven times another the sum of the two numbers is 92. Find the numbers.
Which numbers are NOT perfect squares?
In the complex field, every number is a square so there are no numbers that are not squares. If the domain is reduced to that of real numbers, any negative number is not a square. However, the term "square numbers" (not number's!) is often used to refer to perfect square numbers. These are numbers that are squares of integers. Therefore the squares of fractions or Irrational Numbers are non-squares.
Which numbers are not square number's?
In the complex field, every number is a square so there are no numbers that are not squares. If the domain is reduced to that of real numbers, any negative number is not a square. However, the term "square numbers" (not number's!) is often used to refer to perfect square numbers. These are numbers that are squares of integers. Therefore the squares of fractions or irrational numbers are non-squares.
How are perfect squares and irrational squares same?
No. Perfect squares as the squares of the integers, whereas irrational squares as the squares of irrational numbers, but some irrational numbers squared are whole numbers, eg √2 (an irrational number) squared is a whole number.
Numbers that have an odd number of factors are what?
perfect squares
What is the next number in the sequence 25 36 49 64?
81. They are the perfect squares of numbers starting from 5.81. They are the perfect squares of numbers starting from 5.81. They are the perfect squares of numbers starting from 5.81. They are the perfect squares of numbers starting from 5.
What numbers with an odd numbers of factors?
Perfect squares have an odd number of factors.
When you subtract one square number from another and the answer is 5 What are the two square numbers?
the numbers 3 and 2. there squares are nine and four respectivly giving a difference of 5
The sum of the squares of two consecutive positive numbers is 61. What is the number?
There is no single number here. The two seed numbers are 5 and 6; their squares sum to 61.
What numbers are squares and cubes of other numbers?
All non-negative numbers (including zero) are real-number squares of other numbers.All numbers (positive, negative, and zero) are cubes of other numbers."Numbers" generally refers to the set of all real numbers. 2 is the square of a real number, √2. √2 is not a whole number. It's not even rational. But it is a real number, and therefore meets the criteria specified. Even pi (π), an irrational number itself, is the square of another real number (√π). The only real numbers that cannot be squares are negative numbers, because squares of negative numbers are always positive, because the product of two negative numbers is always positive. This restriction, however, does not apply to cubes, because if you multiply three negative numbers by each other, the result is negative.Now, for the question you may have meant to ask: "What numbers are squares and cubes of whole numbers (integers)?"It would be impossible to list all squares and cubes of integers, because even when you limit it to integers, there is still an infinite number of numbers, and every one of them has both a square and a cube.Examples of integers, their squares, and their cubes.0, 0, 01, 1, 1(-1, 1, -1)2, 4, 8,(-2, 4, -8)3, 9, 274, 16, 645, 25, 12510, 100, 1000Only a very few numbers, such as 0, 1, and 64, are both squares and cubes of integers. Note that 64 is 43 and also 82. (see the related question)
Will you get the same number of factors if you multiply a prime number and itself?
Prime numbers have two factors. Prime squares have three factors. Square numbers have an odd number of factors but that number varies.
What is a productogon?
it is a triangle with circles at the corners, and squares in the middle of the corners. The squares have numbers in them, and you have to put numbers in the circles. However, the numbers in the circles have to add up to the number of the square between them. Simple, right?
What is The sum of the squares of two consecutive positive numbers is 61 what is the smaller number?
The numbers are 5 and 6.
