Q. Solve for x. Enter the solutions from least to greatest.(x+1)2−36=0 lesser x=□ greater x=□
Identify the equation: Identify the equation to solve.We are given the equation (x+1)2−36=0. We need to solve for x.
Add 36 to isolate the squared term: Add 36 to both sides of the equation to isolate the squared term.(x+1)2−36+36=0+36(x+1)2=36
Take square root to solve for x+1: Take the square root of both sides of the equation to solve for x+1.(x+1)2=36x+1=±6
Solve for x: Solve for x by subtracting 1 from both sides of the equation for both positive and negative cases.For the positive case:x+1=6x=6−1x=5For the negative case:x+1=−6x=−6−1x=−7
List solutions from least to greatest: List the solutions from least to greatest.The lesser x is −7 and the greater x is 5.