Question

How many solutions are in the solution set for each quadratic equation below?(3 points)
5x2=50
This quadratic equation would have
solution(s).

3x2=−12
This quadratic equation would have
solution(s).

8x2=0
This quadratic equation would have
solution(s).

Answer 1

5x^2 = 50
- Divide by 5: x^2 = 10 → x = ±√10, so 2 solutions.

3x^2 = −12
- Divide by 3: x^2 = −4 → no real solutions (two complex solutions ±2i), so 0 real solutions.

8x^2 = 0
- Divide by 8: x^2 = 0 → x = 0, so 1 solution.