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Beliebt Word Problems >

The differenz 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.

Lösung

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 .

Lösung

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

Schritte zur Lösung

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

Löse das Gleichungssystem:

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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