SNAP Quadratic Equations Questions

If one of the roots of $$ax^2+bx+c=0$$ is half of the other root, then which of the following conditions must be true?

If $$x_1$$ and $$x_2$$ are the roots of the equation $$x^{2} - 4x - c = 0$$ and $$5x_1 - x_2 = 38$$, which of the following statements is true?

If x = 3 + 2$$\sqrt{\ 2}$$ what will be the value of $$X^2 + \left(\frac{1}{X^2}\right)$$?