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شائع 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.

الحلّ

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 .

الحلّ

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

خطوات الحلّ

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

حلّ منظومة المعادلات:

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

أمثلة شائعة

A couple deposits 25,000 into an account earning 3% annual interest for 30 years. Calculate the future value of the investment if the interest is compounded weekly. Round your answer to the nearest cent.Question 6700 dollars is placed in an account with an annual interest rate of 8.25% How much will be in the account after 28 years, to the nearest cent? Answer Attempt 3 out of 3 Ash is 16 years old. His mothers age is 6 less than 4 times his age. How old is his mother If 90009000 is invested at 33% compounded continuously, what is the amount after 88 years?2 more than 7 times a number