Question

1. -42 = x² - 17x

Explanation:

Step1: Rearrange to standard quadratic form

$x^2 - 17x + 42 = 0$

Step2: Factor the quadratic expression

Find two numbers that multiply to $42$ and add to $-17$: $-3$ and $-14$.
$(x - 3)(x - 14) = 0$

Step3: Solve for $x$

Set each factor equal to 0:
$x - 3 = 0$ or $x - 14 = 0$

Answer:

$x=3$ or $x=14$