Question

Find the solutions to the equation x²- 3x - 28 = 0.

Answer 1

• x = -4 or 7

Explanation:

x²- 3x - 28 = 0.

Slitting the middle term

- 7x + 4x = -3x

- 7x × 4x = -28x

• x² - 7x + 4x - 28 = 0
• x(x - 7) + 4(x - 7) = 0
• (x + 4)(x - 7) = 0
• x + 4 = 0
• x = -4

or

• x - 7 = 0
• x = 7

Therefore, x = -4 or 7