the first three steps for solving the quadratic equation by completing the square are shown. fill in the…
the first three steps for solving the quadratic equation by completing the square are shown. fill in the missing number in the last step.\n9x² + 54x = 7\n9(x² + 6x) = 7\n9(x² + 6x + 9) = 7 + □
Answer
Explanation:
Step1: Analyze the added term inside parentheses
We added 9 inside the parentheses in the left - hand side of the equation (9(x^{2}+6x + 9)=7+\square). Since the left - hand side is multiplied by 9, we need to account for this when finding the value to add on the right - hand side.
Step2: Calculate the value to add on right - hand side
The value added on the left - hand side due to the addition of 9 inside the parentheses is (9\times9) because of the factor 9 outside the parentheses. So, (9\times9 = 81).
Answer:
81