Question

1. $x^2 - 5x - 6 = 0$

Explanation:

Step1: Factor the quadratic equation

We need to find two numbers that multiply to -6 and add up to -5. The numbers are -6 and 1. So we can factor the equation as:
$$(x - 6)(x + 1) = 0$$

Step2: Solve for x

Set each factor equal to zero:

• For \(x - 6 = 0\), we get \(x = 6\).
• For \(x + 1 = 0\), we get \(x = -1\).

Answer:

The solutions are \(x = 6\) and \(x = -1\).