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Популярное Word Problems >

The разность 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.

Решение

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 .

Решение

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

Шаги решения

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

Решите систему уравнений:

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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