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Pumblechook
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The sum of three numbers is 4, the sum of their squares is 10 and the sum of their cubes is 22. What is the sum of their fourth powers?
Pumblechook said:The sum of three numbers is 4, the sum of their squares is 10 and the sum of their cubes is 22. What is the sum of their fourth powers?
rock.freak667 said:If the unknown numbers are a,b,c,d and
Your data can now be written as
a+b+c+d=4
a2+b2+c2+d2=10
a3+b3+c3+d3=22
how do you think you would have to get a4+b4+c4+d4?
jacksonpeeble said:Where did the d value come from?
The statement means that when three numbers are added together, the result is 4.
There are infinite combinations of three numbers that could have a sum of 4. Some examples include: 1+2+1, 0+3+1, -2+4+2, etc.
No, the order in which the three numbers are added does not affect the sum. 2+1+1 will have the same sum as 1+2+1.
Yes, the three numbers can be negative or fractions and still have a sum of 4. For example, -2+3+3=4 and 1/2+1/4+1 1/4=4.
No, there are no restrictions on the three numbers to have a sum of 4. As long as the numbers can be added together, their sum can be 4.