Respuesta :

(-2) = (-2)^3 - x^2 + 7

-2 = -8 - x^2 + 7

-2 = -x^2 - 1

x^2 = 1

x = +/-1

answer

x = -1 , 1

So firstly, solve -2^3: [tex] -2=-8-x^2+7 [/tex]

Next, combine like terms: [tex] -2=-x^2-1 [/tex]

Next, add 1 on both sides of the equation: [tex] -1=-x^2 [/tex]

Next, multiply both sides by -1: [tex] 1=x^2 [/tex]

Next, square root both sides: [tex] +/-\sqrt{1}=x [/tex].

Next, solve it twice, once with the + symbol and once with the - symbol:

[tex] +\sqrt{1}=x\\ 1=x [/tex]

[tex] -\sqrt{1}=x\\ -1=x [/tex]

In short, x = -1, 1

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