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n^2 - n = 552

n^2 - n -552 = 0

(n+23)(n-24) = 0

n = 24

n can also be negative 23

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Q: The square of a number minus the number is 552 find the number?
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What is the range of this set of data 225 342 288 552 263?

To determine range in a specified set of numbers, or data, you need to subtract the smallest number from the largest number. In this particular case, 225 is the smallest and 552 is the largest, 552 minus 225 is 327.


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I am thinking you know the numbers are 23 and 24 but wonder how to find it. The easiest way is if you have a calculator, is to take the square root of 552 and get 23.4 , so try 23 and 24 and it works! You know that x(x+1) should be about the same as xx and by taking the square root you find that (23.4)(23.4) is close to 552, so 23 times 24 will likely be what you want. Of course you can use algebra; let x be the smaller number, then x+1 is the other, so x(x+1) = 552 x2+x -552 = 0 If you try to factor : ( x + )(x - ) = 0 You need try to find two numbers whose product is 552 and whose difference is 1. but that the original problem!! You can use the quadratic formula, but the discriminant is 1+4*552 and you need to take the square root of that--- not hard, but harder than the first method.


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