Respuesta :

wolf1728
Using the quadratic formula we can see the roots are:
3 and -3

kudzordzifrancis
ANSWER

The solutions are,

[tex]x =3 \: and \: x = - 3[/tex]

EXPLANATION

The given equation is

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

We factor to obtain,

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



We rewrite to get,

[tex]4( {x}^{2} - {3}^{2} ) = 0[/tex]

We apply difference of two squares to get,

[tex]4(x - 3) (x + 3)= 0[/tex]

We divide through by 4 to get,


[tex](x - 3) (x + 3)= 0[/tex]

This implies that, either

[tex](x - 3) = 0 \: or \: (x + 3)= 0[/tex]
This gives,

[tex]x =3 \: or \: x = - 3[/tex]


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