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פּוֹפּוּלָרִי Word Problems >

The difference 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.

פתרון

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 .

פתרון

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

צעדי פתרון

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

פתור את מערכת המשוואות:

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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