------------------------------------------------------- Equation Given : ------------------------------------------------------- 16x² = 121
------------------------------------------------------- Take away 121 from both sides: ------------------------------------------------------- 16x² - 121 = 0
------------------------------------------------------- Make each term a perfect square -------------------------------------------------------- (4x)² - (11)² = 0
------------------------------------------------------- Apply zero product property : ------------------------------------------------------- 4x + 11 = 0 or 4x - 11 = 0
-------------------------------------------------------- Solve for x : -------------------------------------------------------- 4x = - 11 or 4x = 11 x = -11/4 or x =11/4
-------------------------------------------------------------------------- Answer: x = -11/4 or x = 11/4 --------------------------------------------------------------------------
