Question

the solution to (x^2 - 10x = 24) is

• 7 or -7
• (2 + 2i) or (2 - 2i)
• 12 or -2

Explanation:

⚡ Using what you learned: factoring and solving quadratic equations

Step 1: Write in standard form

$$ x^2 - 10x - 24 = 0 $$

Step 2: Factor the quadratic equation

$$ (x - 12)(x + 2) = 0 $$

Step 3: Solve for x

$$ x - 12 = 0 \implies x = 12 $$

$$ x + 2 = 0 \implies x = -2 $$

Answer:

12 or -2