1/2(x^2+6)-5=10

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Solution for 1/2(x^2+6)-5=10 equation:


x in (-oo:+oo)

(1/2)*(x^2+6)-5 = 10 // - 10

(1/2)*(x^2+6)-10-5 = 0

1/2*(x^2+6)-10-5 = 0

1/2*(x^2+6)-10-5 = 0

1/2*x^2-7-5 = 0

1/2*x^2-12 = 0

1/2*x^2-12 = 0

1/2*x^2 = 12 // : 1/2

x^2 = 24

x^2 = 24 // ^ 1/2

abs(x) = 2*6^(1/2)

x = 2*6^(1/2) or x = -(2*6^(1/2))

x in { 2*6^(1/2), -(2*6^(1/2)) }

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