Solve for x: |3x + 12|= 18 (5 points)
1) x = 2, x = -10
2) x = 2, x = -2
3) x = 10, x = -10
4) x = -2, x = 10

1)x = 2, x =-10

Step-by-step explanation:

3x + 12 = 18 or -18

if 3x + 12 = 18 ➡ 3x = 18 - 12 ➡ x = 2

if 3x + 12 = -18 ➡ 3x =-18 - 12 ➡ x = -10

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.