Respuesta :

Answer:

below

Step-by-step explanation:

[tex]x.4 ( x-4) = 36 \\[/tex]

[tex]4x(x-4) = 36 \\[/tex]

[tex]4x^{2} - 16x = 36[/tex]

add -36 to both sides

[tex]4x^{2} - 16x - 36 = 36 -36 \\4x^{2} -16x - 36 = 0[/tex]

divide both sides by 2

[tex]\frac{4x^{2} - 16x - 36 }{4} = 0/4[/tex]

[tex]x^{2} -4x-9 = 0[/tex]

This is a quadratic equation

let's solve it by  graphing it

The solution are the x-coordinates of the intersection points

The x-coordinates of the intersection points are approximatively -1.6 and 5.6

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