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Populaire Word Problems >

The différence between the squares of two numbers is 15. Three times the square of the first number increased by the square of the second number is 49. Find the numbers.

Solution

T h e d i ff ere n ce b e tw ee n t h e s q u a res o f tw o n u mb ers i s 15. T h ree t im es t h e s q u a re o f t h e f i rs t n u mb er in cre a se d b y t h e s q u a re o f t h e seco n d n u mb er i s 49. F in d t h e n u mb ers .

Solution

The numbers : 4, 1 or 4, - 1 or - 4, 1 or - 4, - 1

étapes des solutions

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x^{2} - y^{2} = 15

3 x^{2} + y^{2} = 49

Résoudre le système des équations:

x^{2} - y^{2} = 15, 3 x^{2} + y^{2} = 49 : x = 4, x = 4, x = - 4, x = - 4, y = 1 y = - 1 y = 1 y = - 1

The numbers : 4, 1 or 4, - 1 or - 4, 1 or - 4, - 1

Exemples populaires

find 2 positive consecutive odd integers such that the square of the smaller increased by twice the larger is 103 four times a number decreased by 12 is 8 selling an object at 16500php with 10% mark up. how much is the original price number is 11 . Find the three numbers. first number: second number: third number:Lauren's age is half of Joe's age. Emma is two years older than Joe. The sum of Lauren, Emma, and Joe's age is 54. How old is Joe?