Question

Four times the square of a non-zero number is equal to sixteen times the number. What is the number?

Answer 1

Answer:

x=4

Step-by-step explanation:

Let x be the number

4 x^2 = 16 x

subtract 16 x from each side

4x^2 -16x = 0

Factor out 4x

4x(x-4) =0

Using the zero product property

4x= 0  x-4 = 0

x=0        x=4

Since we said it was a non-zero number

x=4

Answer 2

Answer:

x = 4

Step-by-step explanation:

Let's get the unknown number as x

$4 {x}^{2} = 16x \\ 4 {x}^{2} - 16x = 0 \\ 4x(x - 4) = 0$

$4x = 0 \\ \frac{4x}{4} = \frac{0}{4} \\ x = 0$

$x - 4 = 0 \\ x= 0 + 4 \\ x = 4$

hope this helps

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