7|x -9| -5 = -3|x -9| + 257∣x−9∣−5=−3∣x−9∣+25 Choose 1

(Choice A)
A
Only x=6x=6x, equals, 6

(Choice B)
B
Only x=12x=12x, equals, 12

(Choice C)
C
x=6x=6x, equals, 6 or x=12x=12x, equals, 12

(Choice D)
D
Only x=-6x=−6x, equals, minus, 6

(Choice E)
E
There are no solutions

Im pretty sure its choice B

Step-by-step explanation: its hard to explain

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.