Question 1
a) Determine the sum of the real roots of the equation $$
x^{2}+18 x+30=2 \cdot \sqrt{x^{2}+18 x+45}
$$
b) Solve the equation $\sqrt{5-\sqrt{5-x}}=x$, with $0\lt x\lt 5$.
x^{2}+18 x+30=2 \cdot \sqrt{x^{2}+18 x+45}
$$
b) Solve the equation $\sqrt{5-\sqrt{5-x}}=x$, with $0\lt x\lt 5$.