7x + 4(-3x + 6) = -7x + 38

x = 7

Step-by-step explanation:

Given

7x + 4(- 3x + 6) = - 7x + 38 ← distribute and simplify left side

7x - 12x + 24 = - 7x + 38

- 5x + 24 = - 7x + 38 ( add 7x to both sides )

2x + 24 = 38 ( subtract 24 from both sides )

2x = 14 ( divide both sides by 2 )

x = 7

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.

answer: entity is prob the answer

step-by-step explanation: