📘 algebra and trigonometry

1. Let's solve the quadratic equation $x^{2}-5x+6=0$ first. 2. The standard form of a quadratic equation is $ax^{2}+bx+c=0$. Here, $a=1$, $b=-5$, and $c=6$.

### Problem A1 Given the equation: $$y^2 - 25x^2 + 4y + 50x - 46 = 0$$

1. **Problem Statement:** We analyze vector operations for $\mathbf{d} = \mathbf{i} - \mathbf{j} + \mathbf{k}$ and $\mathbf{b} = 2\mathbf{j} - 3\mathbf{k}$, verify given expression