Question

1. solve: \\((x + 5)(x - 7) = 0\\)

\\(x = -7\\) or \\(5\\)

\\(x = -5\\) or \\(7\\)

\\(x = 35\\)

\\(x = \sqrt{35}\\)

Explanation:

Identify the given equation

Using the Solving Quadratic Equations knowledge point

$$ (x + 5)(x - 7) = 0 $$

Apply the Zero Product Property

Using the Zero Product Property knowledge point

$$
LATEXBLOCK0
$$

Solve each linear equation

Using the Linear Equation Solving knowledge point

$$
LATEXBLOCK1
$$

Answer:

• (A) \(x = -7\text{ or }5\)
• (B) \(x = -5\text{ or }7\) (Correct answer)
• (C) \(x = 35\)
• (D) \(x = \sqrt{35}\)