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How do you find two consecutive positive integers such that the square of the first decreased by 25 equals three times the second?
If the integers are consecutive, you can call them 'X' and 'X+1' until you know what they are. The square of the first is X2. Decreased by 25, it's X2-25. Three times the second number is 3 times (X+1), or 3X+3. Since these quantites are equal, X2 - 25 = 3X + 3. This can be re-arranged into the standard quadratic-equation form, without changing the value of anything: X2 - 3X - 28 = 0 . Solving this equation will give you 'X', the first integer, and the other integer is greater by 1. Solving a standard quadratic equation is beyond the scope of this discussion, and if you were given this problem in a class, then somebody expects you to know how to solve it, or at least how to factor it, so that doesn't need to be detailed here. The two solutions to it are: X = 7 and X = -4. Since you specified positive integers, we can throw away X = -4. The two integers are 7 and 8. Now check these to make sure they satisfy the given facts: The square of the first is 49. Decreased by 25, it becomes 24. Three times the second integer (8) is also 24. By golly, they work !
What else can I help you with?
How many square feet equals one square?
A square can be as small or as large as you like. So, the square footage can have any positive value.
One square equals how many square meters?
A square can be as small or as large as you like. Therefore the area of a square can be any positive number.
Which quadrants does the line representing the equation y equals 8x pass through?
It will pass through the first (when x is positive) and third quadrants (when x is negative, y will also be negative).
What is yes equals no if no equals yes?
yes equals no
If 1 equals 6 2 equals 26 3 equals 326 4 equals 4326 5 equals 54326 then 6 equals?
654326. Or 154326. or something else.
If AA plus bb plus cc equals dwhere a and b are consecutive positive integers and c equals ab then root d is what?
+/- 11
What is the sum of the three consecutive integers that equals 114?
The integers are 37, 38 and 39.
What are three consecutive odd integers whose sum is 13?
There are no three consecutive odd integers who's sum equals 13.
What equation represents the product of two consecutive positive integers that equals 110?
x^2 + x = 110. x(x + 1) equals x squared + x.
What is the greatest of 5 consecutive integers if the sum of these integers equals -45?
50
What two consecutive odd integers equall 143?
The two consecutive, odd integers whose product equals 143 are 11 and 13.
The sum of 2 consecutive odd integers equals 76 what are the integers?
The numbers are 37 and 39.
What is sum of three consecutive even integers that equals 546?
The integers are 180, 182 and 184.
What is product of two consecutive integers is 380?
Well, darling, if you're looking for the product of two consecutive integers that equals 380, then you're in luck. The two integers are 19 and 20. See, no need to break a sweat over this math riddle. Just keep on strutting your stuff!
Is there any square number that equals the sum of consecutive integers?
hi
What is the integer of two even consecutive integers whose sum equals 42?
The integers are 20 and 22.
What are two consecutive integers whose sum equals -30.03?
Let's represent the two consecutive integers as x and x + 1. The sum of these two integers is x + (x + 1) = 2x + 1. We are given that this sum equals -30.03, so 2x + 1 = -30.03. Solving for x, we get x = (-30.03 - 1) / 2 = -31.03 / 2 = -15.515. Therefore, the two consecutive integers are -15 and -14.
