If α,β,γ\alpha, \beta, \gammaα,β,γ are roots of x3−5x+7=0x^3 - 5x + 7 = 0x3−5x+7=0, what is the value of 1α2+1β2+1γ2\frac{1}{\alpha^2} + \frac{1}{\beta^2} + \frac{1}{\gamma^2}α21+β21+γ21?
1149\frac{11}{49}4911
2549\frac{25}{49}4925
3949\frac{39}{49}4939
5349\frac{53}{49}4953