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Популярное Word Problems >

The разность between the squares of two numbers is 24. Four times the square of the first number increased by the square of the second number is 101. 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 24. F o u r 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 101. F in d t h e n u mb ers .

Решение

The numbers : 5, 1 or 5, - 1 or - 5, 1 or - 5, - 1

Шаги решения

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x^{2} - y^{2} = 24

4 x^{2} + y^{2} = 101

Решите систему уравнений:

x^{2} - y^{2} = 24, 4 x^{2} + y^{2} = 101 : x = 5, x = 5, x = - 5, x = - 5, y = 1 y = - 1 y = 1 y = - 1

The numbers : 5, 1 or 5, - 1 or - 5, 1 or - 5, - 1

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