Find the value of x.
A.48
B.56
C.68
D.76

A

Step-by-step explanation:

The secant- tangent angle 78° is half the difference of the intercepted arcs

(204 - x) = 78 ( multiply both sides by 2 )

204 - x = 156 ( subtract 204 from both sides )

- x = - 48 ( multiply both sides by - 1 )

x = 48

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.