BevynH120569 BevynH120569
  • 25-10-2022
  • Mathematics
contestada

which of the following equation have roots 4 and -4

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CarsenI153226 CarsenI153226
  • 25-10-2022

x² -16=0

1) Since we have two roots and any quadratic equation can be rewritten as once we have the roots:

[tex]a(x-x_1)(x-x_2)=0[/tex]

So let's find one equation whose roots are 4 and -4, with coefficient a=1

(x-4)(x+4)=0

x² -16=0

2) So the equation x² -16= 0 has roots x_1=4 and x_2= -4 S={-4,4}

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