Six times the reciprocal of a number equals two time the reciprocal of 8

x=24

Step-by-step explanation:

1) Rewrite the problem as an equation:

6(1/x)=2(1/8)

2) Multiply 6 by 1/x:

6/x=2(1/8)

3) Multiply 2 by 1/8:

6/x=2/8

4) Simplify 2/8:

6/x=1/4

5) Multiply everything by x:

6=(1/4)x

6) Multiply everything by the reciprocal of 1/4: (4)

x=24

step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.