Question

Identify the real square root (s) of -49.

Answer 1

The real square root(s) of -49 cannot be found as there are no real solutions.

Step-by-step explanation:

The real square root(s) of -49 can be found using the quadratic equation. Let's solve it step-by-step:

1. Start with the quadratic equation: x^2 = -49
2. Add 49 to both sides to isolate the variable: x^2 + 49 = 0
3. Use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a), where a = 1, b = 0, and c = 49
4. Substitute the values into the formula and simplify: x = (-0 ± √(0^2 - 4(1)(49))) / (2(1))
5. The discriminant (b^2 - 4ac) is negative, which means there are no real solutions. So, the answer is that there are no real square roots of -49.