Question

Daca x²+ 1/2= 2 : Calculati x²+ 1/x²

Answer 1

x²=2-1/2    aducem la acelasi numitor
x²=(2·2-1)/2
x²=(4-1)/2
x²=3/2
x=√3/2      
x²+1/x²=(√3/2)²+1/(√3/2)²=3/2+(2/√3)²=3/2+4/3=(3·3+4·2)/6=(9+8)/6=17/6=2,8(3)

Answer 2

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