(x^2+1)^1/2+x^2+1=90

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Solution for (x^2+1)^1/2+x^2+1=90 equation: 


x in (-oo:+oo)

((x^2+1)^1)/2+x^2+1 = 90 // - 90

((x^2+1)^1)/2+x^2-90+1 = 0

(x^2+1)/2+x^2-90+1 = 0

(x^2+1)/2+(2*x^2)/2+(-90*2)/2+(1*2)/2 = 0

x^2+2*x^2-90*2+1*2+1 = 0

3*x^2-180+1+2 = 0

3*x^2-179+2 = 0

3*x^2-177 = 0

(3*x^2-177)/2 = 0

(3*x^2-177)/2 = 0 // * 2

3*x^2-177 = 0

3*x^2 = 177 // : 3

x^2 = 59

x^2 = 59 // ^ 1/2

abs(x) = 59^(1/2)

x = 59^(1/2) or x = -59^(1/2)

x in { 59^(1/2), -59^(1/2) }

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