Final answer:
To solve the equation x² + 12 = 5, rearrange it to x² - 3 = 0 and use the quadratic formula to find x.
Step-by-step explanation:
To solve the equation x² + 12 = 5, we need to rearrange it to the form: x² - 3 = 0. This is a quadratic equation, so we can solve it using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a). In this case, a = 1, b = 0, and c = -3.
Substituting the values into the formula, we get: x = (± √(0² - 4(1)(-3))) / (2(1)). Simplifying further, we have: x = (± √(0 + 12)) / 2. Finally, we have two possible solutions: x = √12/2 and x = -√12/2.