Question

Which of the following tables shows the correct steps to transform x2 + 10x + 24 = 0 into the form (x − p)2 = q? [p and q are integers] Step 1 x2 + 10x + 24 − 1 = 0 − 1 Step 2 x2 + 10x + 23 = −1 Step 3 (x + 5)2 = −1 Step 1 x2 + 10x + 24 − 2 = 0 − 2 Step 2 x2 + 10x + 22 = −2 Step 3 (x + 5)2 = −2 Step 1 x2 + 10x + 24 + 2 = 0 + 2 Step 2 x2 + 10x + 26 = 2 Step 3 (x + 5)2 = 2 Step 1 x2 + 10x + 24 + 1 = 0 + 1 Step 2 x2 + 10x + 25 = 1 Step 3 (x + 5)2 = 1

Answer 1

Answer: y = (x - 5)² - 1