Respuesta :

The answer and solution is the image below.

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Answer:

option A. x = -4/5 or x= 4/5

Step-by-step explanation:

The given equation is 100x² = 64

This is a quadratic equation.

Let  100x² = 64    ------(1)

Both the side of equation (1) is perfect squares.

taking  square root on both side of equation (1)

we get,

x² = 64/100

x=√64100

x = ±8/10

x = + 8/10 or x= -8/10

x = 4/5 or x = -4/5

Therefore the correct option is option A. x = -4/5 or x= 4/5