x2 + (x+5)2 = 233
2x2 + 10x + 25 = 233
2x2 + 10x - 208 = 0
2x2 + 26x - 16x - 208 = 0
2x(x+13) - 16(x+13) = 0
(2x-16)(x+13) = 0
So 2x-16 = 0 or x+13=0
So the soln is 2x-16=0 ie x = 8
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When a negative number is squared, the negative sign is essentially squared along with the number, resulting in a positive value. However, when taking the square root of a positive number, we are looking for the value that, when squared, gives us the original positive number. Since both a positive and negative number can square to the same positive value, the convention is to consider the principal (positive) square root by default. The negative square root is also a valid solution in many contexts, but for simplicity and consistency, the positive square root is typically chosen.
Usually the square of a number is greater than the original number (2x2=4, -2x-2=4) wherther the number is negative or positive. The square of 1 is the same (1x1=1) but the square of -1 is greater (-1x-1=1) The square of positive decimal numbers is smaller than the original number (0.1x0.1=0.01) and the square of negative decimal numbers is larger than the original number (-0.1x-0.1=0.01)
A composite number is a number with more than two positive integer factors (itself and one). Other than these two numbers, the positive integer factors of 155 are 5 and 31.
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73
The square of 9 more than a number is equal to nine more than the square of a number. What is the number?
A prime number that is one more than a square number is known as a Sophie Germain prime. Sophie Germain primes are of the form 2p+1, where p is a prime number. For example, 17 is a Sophie Germain prime because it is one more than the square of 4, and both 4 and 17 are prime numbers. Sophie Germain primes have applications in number theory and cryptography.
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No, the square of a number is not always larger than the number itself. For positive numbers greater than 1, the square will be larger. However, for numbers between 0 and 1, the square is smaller, and for negative numbers, the square is always positive while the original number is negative, making the square larger in that context as well. Specifically, zero squared is equal to zero.
more!
When a negative number is squared, the negative sign is essentially squared along with the number, resulting in a positive value. However, when taking the square root of a positive number, we are looking for the value that, when squared, gives us the original positive number. Since both a positive and negative number can square to the same positive value, the convention is to consider the principal (positive) square root by default. The negative square root is also a valid solution in many contexts, but for simplicity and consistency, the positive square root is typically chosen.
Usually the square of a number is greater than the original number (2x2=4, -2x-2=4) wherther the number is negative or positive. The square of 1 is the same (1x1=1) but the square of -1 is greater (-1x-1=1) The square of positive decimal numbers is smaller than the original number (0.1x0.1=0.01) and the square of negative decimal numbers is larger than the original number (-0.1x-0.1=0.01)
No, not always since: if a number is more than 1, then its square root is smaller than the number. if a number is less than 1, then its square root is bigger than the number.
when x is a negative number --- is a wrong answer since square root of a negative number is not defined. So x has to be zero or a positive number. The correct answer is that when x lies between 0 and 1 (with both limits excluded), its square root is greater than the number itself. Of course at both limits, the square root (assuming the positive square root - since a square root of a number can be positive or negative, both with the same absolute value) is the same as the number.
(92 x 2) - (9 x 2) = 162 - 18 = 144 The number is therefore 9.