Question

Divide 25 & into a parts such that
sum of their receiprocals is 1/6
6​

Answer 1

Answer:

10 , 15

Step-by-step explanation:

taking variables for unknown values

f the first part = x

The second part = 25-x

Sum of reciprocals:

1/x + 1/25-x = 1/6

x² - 25x + 150 = 0

This is a quadratic equation

x = 10, x = 15

So, 25 can be split into 10 and 15

Verify :

1/10 + 1/15

lcm = 30

1*3/10*3 + 2*1/10*30

= 3+2/30 = 5/30

as 5x6 = 30

it can be simplified as 1/6

Solving the quadratic equation :

1.Put all terms on one side of the equal sign, leaving zero on the other side.

2.Factor.

3.Set each factor equal to zero.

4.Solve each of these equations.

5.Check by inserting your answer in the original equation ( verify )

Answer 2

Answer:

divide to 25/1 and 1/6

is equal to 25/6 then divide it to 25/6 and 6/1 is 25/1 is 25

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