Jasonbradley
Home

(x+12)(x-12)=481

less than a minute read Jun 16, 2024
(x+12)(x-12)=481

Solving the Equation (x+12)(x-12) = 481

This equation involves a product of two binomials, which can be easily expanded using the difference of squares pattern: (a + b)(a - b) = a² - b²

  1. Expand the equation: (x + 12)(x - 12) = 481 becomes x² - 144 = 481

  2. Rearrange the equation: x² - 144 - 481 = 0 x² - 625 = 0

  3. Factor the equation: This is a difference of squares pattern again! (x + 25)(x - 25) = 0

  4. Solve for x: For the product of two factors to equal zero, at least one of the factors must be zero. Therefore:

    • x + 25 = 0 => x = -25
    • x - 25 = 0 => x = 25

Therefore, the solutions to the equation (x + 12)(x - 12) = 481 are x = -25 and x = 25.

Related Post

Featured Posts