Quadratic Squared

Algebra Level 5

x42x35x2+10x3=0 x^4 - 2x^3 - 5x^2 + 10x - 3 = 0

If the smallest positive real root of the above equation can be stated in the form of abc \frac {a-\sqrt b}{c} , then what is the value of a+b+ca+b+c?

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