SOLUTION: use a quadratic equation to find two real numbers that satisfy the situation or show that no such numbers exist.
" their sum is 2, and their product is -15"
Algebra.Com
Question 189415: use a quadratic equation to find two real numbers that satisfy the situation or show that no such numbers exist.
" their sum is 2, and their product is -15"
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Find two real numbers such that their sum is 2 and their product is -15.
Let x be one of the numbers and let y be the other, so:
and
Solve both for y:
and
Now that we have two expressions that are each equal to y, set them equal to each other:
Multiply both sides by x:
Add 15 to both sides, multiply by -1, and put into standard form:
Factor:
(x + 3) = 0)
So:
or
and
So the numbers are -3 and 5.
Check the answer: -3 + 5 = 2, -3 X 5 = -15
John
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