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Popolare Word Problems >

The differenza 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.

Soluzione

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 .

Soluzione

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

Fasi della soluzione

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

Risolvi il sistema di equazioni:

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

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