Question

solve the equation.

\\x^2 - 3x = 28\\

\\(x = \square\\)
(use a comma to separate answers as needed.)

Explanation:

⚡ Using what you learned: factoring and solving quadratic equations

Step 1: Write in standard form

$$ x^2 - 3x - 28 = 0 $$

Step 2: Factor the quadratic expression

$$ (x - 7)(x + 4) = 0 $$

Step 3: Solve for x

$$ x - 7 = 0 \implies x = 7 $$

$$ x + 4 = 0 \implies x = -4 $$

Answer:

7, -4