One number is less than a second number. Twice the second number is 42 more than 4 times the first?

Any pair of numbers (x, 21 + 2x).

Step-by-step explanation:

I am going to solve this question building a system of equations. We have that:

The first number is x

The second number is y.

Twice the second number is 42 more than 4 times the first

This means that:

2y = 42 + 4x

Dividing by 2

y = 21 + 2x

So the solution to this question is:

Any pair of numbers (x, 21 + 2x).

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.