Answer:
x = 19
Step-by-step explanation:
Since DF is an angle bisector then it divides the opposite sides into segments that are proportional to the other 2 sides, that is
= 
, substitute values
= 
( cross- multiply )
22.5(x - 9) = 225 ( divide both sides by 22.5 )
x - 9 = 10 ( add 9 to both sides )
x = 19
The answer is approximately 11.18.
Upon a slight rearrangement this problem gets a lot simpler to see.
x^3-x+2x^2-2=0 now factor 1st and 2nd pair of terms...
x(x^2-1)+2(x^2-1)=0
(x+2)(x^2-1)=0 now the second factor is a "difference of square" of the form:
(a^2-b^2) which always factors to (a+b)(a-b), in this case:
(x+2)(x+1)(x-1)=0
So g(x) has three real zero when x={-2, -1, 1}
3/20 is 15% so that's bigger
1.34 is greater than 1.334
