SOLUTION: If the sum of two numbers is 4 and the sum of their squares minus three times their product is 76 find the numbers
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Question 1206795: If the sum of two numbers is 4 and the sum of their squares minus three times their product is 76 find the numbers
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
x and y
substituting,
divide both sides by 5,
Could the factors be 6 and 2?
yes.
Could the factors of 12 be -6 and -2?
, no.
x can be 6.
If that, then
The numbers, -2 and +6.
Check?
x=6;
The numbers are -2 and +6.
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!
The method for solving the problem shown by the other tutor is not good mathematics....
Let one number be x; then since the sum of the number is 4, the other number is 4-x.
The sum of the squares of the two numbers, minus three times their product, is 76:
or
If x=6, then 4-x=-2; if x=-2, then 4-x=6. Either way, the two numbers are -2 and 6.
ANSWER: -2 and 6
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