The graph of y=x2+6x+9 is shown below. What is the solution set for x^2+6x+9=0?
{0,9}
{0,-3}
{-3,3}
{-3}

There is only one point in the solution set :

x = -3

Step-by-step explanation:

Notice that the function is a quadratic whose graph is represented by a parabola, When you are asked for the solution to the equation:

you are being asked about which values of the variable "x" render y = 0.

Notice as well, that the vertex of the parabola, is touching the x-axis. and recall that point on the x axis are those with y-value = 0.

Therefore, there is only one x-value for which this function will render zero. That value is x = -3.

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.

yes

step-by-step explanation:

yes