Olga tried to solve an equation step by step.

\begin{aligned} \dfrac14\left(\dfrac13k+9\right)&am p;=6 \dfrac13k+9&=24&\green{\tex t{Step } 1} \dfrac13k&=15&\blue{\text{S tep } 2} k&=5&\purple{\text{Step } 3} \end{aligned}

4

1



(

3

1



k+9)

3

1



k+9

3

1



k

k



=6

=24

=15

=5



Step 1

Step 2

Step 3



Find Olga's mistake.

ik how do do this just give me a few minutes and i will give it to

idek

step-by-step explanation:

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.