مجموع عددين صحيحين هو ٧ مجموع مربعيهما ٢٥.
بفرض العددين س، ص.
س+ص=7
س=7-ص
س2+ص2=25
(7-ص)2+ص2=25
ص2-14ص+49+ص2=25
2ص2-14ص+24=0
2(ص2-7ص+12)=0
2(ص-4)(ص-3)=0
ص=4 ومنها س=3
أو ص=3 ومنها س=4
العددان هما 3، 4.
The sum of two integers is 7, and the sum of their squares is 25. By solving the equations, the two integers are found to be 3 and 4. The equations can be simplified to find the values of the integers by setting them equal to each other and finding the roots of the resulting equation. The integers are determined to be 3 and 4, with the values of s and s equal to 3 and 4 respectively. The integers satisfying the conditions are 3 and 4.
