If a is not equal to b and 1/x+ 1/a= 1/b then x=

ab / (a-b) =x

Step-by-step explanation:

1/x+ 1/a= 1/b

Multiply by axb to get rid of fractions

axb(1/x+ 1/a)= 1/b* axb

ab + bx = ax

Subtract bx from each side

ab+bx -bx = ax-bx

ab = ax-bx

Factor out x

ab = x(a-b)

Divide each side by (a-b)

ab / (a-b) = x (a-b)/(a-b)

ab / (a-b) =x

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.