find two number whose sum is 27 and product is 50
Answers
Answered by
1
Step-by-step explanation:
- Let one number be x and the other number be y. Then we have two equations:
x + y = 27
x y = 50
- So as you pointed out, y = 50/x is the other number. Now we can substitute y = 50/x into the first equation.
x + y = 27
becomes
x + 50/x = 27
- Multiplying both sides by x gives us
x2 + 50 = 27x
- Subtracting 27 from both sides gives us a quadratic equation
x2 -27x + 50 = 0
- We can solve this equation by factoring:
(x - 25)(x - 2) = 0
This has two solutions
x = 25 and x = 2
- So if x = 25, then y = 2.
- Similarly if x = 2, then y = 25.
- So the numbers you are looking for are 2 and 25. I
Answered by
0
25 +2 = 27
25x2= 50
Mark me as brainliest please
It would be a great help
25x2= 50
Mark me as brainliest please
It would be a great help
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