the sum of two numbers is 8 if one number is -15/7 what is another number
need answer in brief
with formula
Answers
Answer:
1
4
If the sum of two numbers is 8 and the sum of its reciprocal is 8 ÷ 15, then what are the numbers?
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Akhil Singh
Answered December 23, 2018
The sum of two numbers is 8. Can you determine the number if the sum of their reciprocals is 8/15?
Short answer: (5 and 3) or (3 and 5)
Long answer:
Let x and y be those two numbers,
Thus, x + y = 8 and (1/x) + (1/y) = (8/15)
get the value of y in terms of x through Eqn.1…
y = 8 - x
Now, plug this value into Eqn.2…
1/x + 1/(8-x) = 8/15
Cross multiply and add the fractions and take reciprocal…
1/(x * (8-x)) = 1/15 => x*(8-x) = 15 => 8x - x^2 = 15
Thus, x^2 - 8x + 15 = 0 … solve this quadratic(by the formula or factorization) to get the answer…
The formula is : x1 = ( - b + sqrt(b^2 - 4ac) ) / (2a) and x2 = ( - b - sqrt(b^2 - 4ac) ) / (2a)…
x1 = ( 8 + sqrt(8^2 - 4*1*15) ) / (2*1)
thus, x1 = ( 8 + 2 ) / 2 = 5 and x2 = 3..find y using Eqn.1
The factors for the equation are: (x - 3) (x - 5) = 0 => x = 3 or x = 5…
when x=3, y = 8–3 = 5 and when x= 5, y= 3 thus, (5,3) and (3,5) are solutions.
in graphical you can see this
Step-by-step explanation:
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Answer:
ans is 71/7
Step-by-step explanation:
explanation is in image
hope it will help you
