The product of two positive numbers is 35 and their difference is 2. What is the sum of the two numbers.
2 answers:
Answer:
- x = 7 and y = 5 => their sum: 7+5 = 12
- x = -5 and y =-7 => their sum: -5 + (-7) = -12
Step-by-step explanation:
Let x is the bigger number
Let y is the smaller number
We have:
- The product of two positive numbers is 35
=> xy = 35 (1)
- Their difference is 2
=> x - y = 2
<=> x = y+2 (2)
Substitute (2) into (1) we have:
(y+2) y = 35
<=>
<=> y = 5 or y = -7
When y = 5 we get x = 5+ 2 = 7
When y =-7 we get x = -7 +2 = -5
So we have two possible answers:
- x = 7 and y = 5 => their sum: 7+5 = 12
- x = -5 and y =-7 => their sum: -5 + (-7) = -12
You might be interested in
ANSWER
C
E
F
EXPLANATION
The result of the synthetic division is :
3 -1 0
The last number is the remainder which is 0
The first two numbers are the coefficients of the quotient.
Therefore the quotient is 3x -1
Since the remainder is 0, x-4 is a factor of
This also means that:
This again means that x=4 is a root of
The correct choices are C,E and F.