Answer:
The answer is 96 when X= 8
Step-by-step explanation:
We have given that :
AE= [tex]x^2-16[/tex] and CE=[tex]6x[/tex]
where AE and CE are the diagonals of the paralleogram
The diagonals of parallelogram bisect each other therefore,
[tex]x^2-16 = 6x[/tex]
⇒ [tex]x^2-6x-16=0[/tex]
factors are (x+2)(x-8)=0
setting to each factor 0 the value of x= -2 or x= 8
therefore, two values of AC is
X= -2 ,AC= 2([tex]x^2-16[/tex])=2(-12)=-24
X= 8 ,AC= 2([tex]x^2-16[/tex])=2(48)=96
The answer is 96 when X= 8
