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شائع Word Problems >

the sum of the squares of 2 consecutive positive numbers is 61. find the numbers

الحلّ

t h e s u m o f t h e s q u a res o f 2 co n sec u t i v e p os i t i v e n u mb ers i s 61. f in d t h e n u mb ers

الحلّ

The numbers : 5, 6

خطوات الحلّ

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x^{2} + (x + 1)^{2} = 61

x^{2} + (x + 1)^{2} = 61

حلّ:

x = 5, x = - 6

Select positive solutions:

5

x + 1 = 5 + 1 = 6

The numbers : 5, 6

أمثلة شائعة

Suppose that when your friend was born, your friend's parents deposited 2000 in an account paying 5.7% interest compounded quarterly. What will the account balance be after 17 years?The product of two consecutive negative odd integers is 15. Find the value of the greater integer.a number that when decreased by 30% is 12 7 less than the product of 2 and number when 19 is subtracted from a number, the result is 32