In parallelogram abcd , diagonals ac¯¯¯¯¯ and bd¯¯¯¯¯ intersect at point e, ae=x2−16 , and ce=6x . what is ac ? the answer is 96.

The answer is 96 when X= 8

Step-by-step explanation:

We have given that :

AE=  and CE=

where AE and CE are the diagonals of the paralleogram

The diagonals of parallelogram bisect each other therefore,

⇒

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()=2(-12)=-24

X= 8 ,AC= 2()=2(48)=96

The answer is 96 when X= 8

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