Find the sum of all solutions to the equation $3x(x+4) = 66$.

the solutions are:

and the sum of solutions is:

-4

Step-by-step explanation:

the expression is:

doing the multiplication

dividing everything by 3:

we use the quadratic formula to find the solutions:

in this case since we have an equation in the form

where

the quadratic formula is:

from this, using the + sign we find the first solution:

and the second solution:

the sum of the solutions is:

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.

explanation:

step-by-step explanation: