Create a list of steps, in order, that will solve the following equation.(x+3)2−1=35Solution steps:- Add 1 to both sides- Add 3 to both sides- Subtract 1 from both sides- Subtract 3 from both sides- Take the square root of both sides
Q. Create a list of steps, in order, that will solve the following equation.(x+3)2−1=35Solution steps:- Add 1 to both sides- Add 3 to both sides- Subtract 1 from both sides- Subtract 3 from both sides- Take the square root of both sides
Add 1 to isolate squared term: Add 1 to both sides to isolate the squared term.We have (x+3)2−1=35. By adding 1 to both sides, we get (x+3)2=36.
Take square root to solve: Take the square root of both sides to solve for x+3. Taking the square root of both sides, we get x+3=±36. The square root of 36 is 6, so we have x+3=±6.
Subtract 3 to find x: Subtract 3 from both sides to solve for x.We have x+3=±6. By subtracting 3 from both sides, we get x=±6−3. This gives us two possible solutions: x=6−3 or x=−6−3.
More problems from Solve a quadratic equation using square roots