In 5 words or fewer, what are the inverse operations for the equation x2+3=12
Mathematics · High School · Thu Feb 04 2021
Answered on
Subtract 3, square root.
Inverse operations are used to solve equations by reversing the actions that have been applied to the variable. In the equation x^2 + 3 = 12, the operations performed are squaring x and then adding 3. To solve for x, you need to reverse these operations:
1. Subtract 3 from both sides to undo the addition: x^2 + 3 - 3 = 12 - 3 x^2 = 9
2. Take the square root of both sides to undo the squaring (this will give you both positive and negative solutions since both (+x)^2 and (-x)^2 give the same result): sqrt(x^2) = sqrt(9) x = ±3
Understanding inverse operations is crucial for algebraic manipulation and solving equations, as it allows you to isolate the variable and determine its value(s).