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شائع Word Problems >

determine the smallest positive integer and the most negative integer for which the difference between the square of 5 more than this number and the cube of 1 more than this number exceeds 22.

الحلّ

d e t er min e t h e s ma ll es t p os i t i v e in t e g er an d t h e m os t n e g a t i v e in t e g er f or w hi c h t h e d i ff ere n ce b e tw ee n t h e s q u a re o f 5 m ore t han t hi s n u mb er an d t h e c u b e o f 1 m ore t han t hi s n u mb er e x cee d s 22.

الحلّ

x > \frac{11}{2}

خطوات الحلّ

Represent the number with

x

A.T.Q.:

x ((5 + x) - (1 + x)) > 22

x ((5 + x) - (1 + x)) > 22, x

حلّ لـ:

x > \frac{11}{2}

x > \frac{11}{2}

أمثلة شائعة

Twice a number and minus five is less than ten Twenty-five decreased by thrice a number is 7 . What is the number?The product of two consecutive positive integers is 2256. Find the smaller number 8 divided by the sum of a number and 4 Four more than the product of a number and 5 equals 3