Answer :

Answer:

4 and -4

Step-by-step explanation:

The solutions to the equation [tex]x^2-16=0[/tex] are x = -4, x = 4

Solutions to quadratic equations

The given quadratic equation is:

[tex]x^2-16=0[/tex]

This can be re-written as:

[tex]x^2-4^2=0[/tex]

Simplifying the equation by applying the difference of two squares

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

Equate each of the factors to zero

x  -  4  =  0

x   =  4

x  +  4  =  0

x  =  -4

The solutions to the equation [tex]x^2-16=0[/tex] are x = -4, x = 4

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