①1) $x^{2}-2x - 3 = 0$
①1) $x^{2}-2x - 3 = 0$
Answer
Explanation:
Step1: Factor the quadratic equation
We need to find two numbers that multiply to - 3 and add up to - 2. The numbers are - 3 and 1. So we can factor the quadratic equation $x^{2}-2x - 3=0$ as $(x - 3)(x+1)=0$.
Step2: Set each factor equal to zero
If $(x - 3)(x + 1)=0$, then either $x-3=0$ or $x + 1=0$. For $x-3=0$, we get $x=3$; for $x + 1=0$, we get $x=-1$.
Answer:
$x = 3$ or $x=-1$