tayleighotto tayleighotto
  • 14-04-2018
  • Mathematics
contestada

What is the solution set for the equation 8=x to the 2nd power -2x

Respuesta :

MarkV
MarkV MarkV
  • 14-04-2018
Hi there!

[tex]8 = {x}^{2} - 2x[/tex]
Bring all terms to the left.

[tex] - {x}^{2} + 2x + 8 = 0[/tex]
Divide by -1.

[tex] {x}^{2} - 2x - 8 = 0[/tex]
Factoring

[tex](x - 4)(x + 2) = 0[/tex]
Rule AB = 0, so A = 0 or B = 0.

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

OR

[tex]x + 2 = 0[/tex]
[tex]x = - 2[/tex]
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