Are you writing out the steps as you read the example? Step 2: Get the constant on a side by itself: n2 4n 15 4 Step 3: Complete the square: 1 2 (4) 2 (2)2 4 Add 4 to both sides of the equation. n2 4n 4 15 4 4 n2 4n 4 15 4 16 4 Get a common denominator. n2 4n 4 1 4 Add. Step 4: Factor: (n 2)2 1 4 Step 5: Solve using the square root property. (n 2)2 1 4 n 2 A 1 4 Square root property n 2 1 2 Simplify. This means n 2 1 2 or n 2 1 2 . Solve both equations. n 2 1 2 n 2 1 2 n 1 2 2 or n 1 2 2 Add 2 to each side. n 5 2 n 3 2 The check is left to the student. The solution set is e 3 2 , 5 2 f . b) 10y 2y2 3 Step 1: Since the coeffi cient of y2 is not 1, divide the whole equation by 2. 10y 2 2y2 2 3 2 Divide by 2. 5y y2 3 2 Simplify. Step 2: The constant is on a side by itself. Rewrite the left side of the equation. y2 5y 3 2 www.mhhe.com/messersmith SECTION 10.2 Solving Quadratic Equations by Completing the Square 617
messersmith_power_introductory_algebra_1e_ch4_7_10
To see the actual publication please follow the link above