This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Consider the equation x^2 + C = 0. If C is a negative number, let's represent it as C = -k, where k is a positive number. Substituting this into the equation: x^2 + (-k) = 0 x^2 - k = 0 Step 2: Rearrange the equation to solve for x^2: x^2 = k Step 3: To find x, take the square root of both sides: x = ± sqrt(k) Step 4: Since k is a positive number (because C was negative), sqrt(k) will be a real number. Therefore, the solutions for x are real numbers. For example, if C = -4: x^2 - 4 = 0 x^2 = 4 x = ± sqrt(4) x = ± 2 These are real numbers. The solutions will be real numbers. Real numbers 3 done, 2 left today. You're making progress.