Solve the equation by completing the square.

0 = 4x2  − 64x + 192

a. 

x  = 4, 12

b. 

x  = -8, 24

c. 

x  = -12, -4

d. 

x  = -24, 8

A .x=4,12

Step-by-step explanation:I took the test it was right on edmentum.com

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.

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