Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 + 2x = 17
Accepted Solution
A:
-------------------------------------------------------- Equation Given -------------------------------------------------------- x² + 2x = 17
-------------------------------------------------------- Add the constant to make it perfect square -------------------------------------------------------- x² + 2x + (2/2)² - ²(2/2)² = 17
-------------------------------------------------------- Solve for x -------------------------------------------------------- x = 4.24 - 1 or - 4.24 -1
x = 3.24 or - 5.24 (nearest hundredth)
-------------------------------------------------------- Answer: x = x = 3.24 or - 5.24 --------------------------------------------------------