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Popular Word Problems >

The sum of the squares of two consecutive integers is twenty-five.

Solution

T h e s u m o f t h e s q u a res o f tw o co n sec u t i v e in t e g ers i s tw e n t y - f i v e .

Solution

The numbers : 3, 4 or - 4, - 3

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x^{2} + (x + 1)^{2} = 25

Solve

x^{2} + (x + 1)^{2} = 25 : x = 3, x = - 4

Plug in

x = 3 : 4

Plug in

x = - 4 : - 3

The numbers : 3, 4 or - 4, - 3

Popular Examples

The quotient of a number and negative two is five The product of two consecutive integers is 420. Which quadratic equation can be used to find x, the lesser number When 70% of a number is added to the number, the result is 255.two less than a number If the sum of three times a number and two times the same number is increased by 3, the result is 28. Find the number.