Score: \( 21.5 / 100 \) Answered: 11/40 Question 12 Solve for \( x \) using the square root property. \[ \begin{array}{l} 9(x+9)^{2}-22=203 \\ x= \end{array} \] Entry Tip: Do not use a decimal approximation for 5*sqrt(7). Preview your answer before submitting

To solve for \( x \) using the square root property, start by isolating the square term. Add 22 to both sides of the equation to get: \[ 9(x+9)^2 = 225 \] Next, divide both sides by 9: \[ (x+9)^2 = 25 \] Now, apply the square root property: \[ x + 9 = \pm 5 \] This results in two equations: 1. \( x + 9 = 5 \) 2. \( x + 9 = -5 \) Solving these gives: 1. \( x = 5 - 9 = -4 \) 2. \( x = -5 - 9 = -14 \) Thus, the solutions are \( x = -4 \) and \( x = -14 \). To wrap it up, don’t forget to double check your work! Mistakes often happen during the steps of isolating the variable or incorrect application of the square root which might lead to getting the wrong sign. Always ensure you cover both the positive and negative roots while solving equations involving squares! Happy solving!