-5k squared + 125=0 use the square root properly to slove the equation
To solve the equation -5k^2 + 125 = 0 using the square root, you need to isolate the variable "k" and then take the square root of both sides of the equation. Here's the step-by-step process:
1. Start with the equation: -5k^2 + 125 = 0.
2. First, move the constant term (125) to the other side of the equation by subtracting it from both sides. This gives you: -5k^2 = -125.
3. Next, divide both sides of the equation by -5 to isolate the variable k: -5k^2 / -5 = -125 / -5. Simplify to get: k^2 = 25.
4. Now, to solve for k, take the square root of both sides of the equation. Remember that when taking the square root, you need to consider both the positive and negative square roots: √k^2 = ±√25.
5. The square root of k squared is simply k: k = ±√25.
6. Simplifying further, you get two solutions: k = +5 and k = -5.
Therefore, the equation -5k^2 + 125 = 0 has two solutions, k = +5 and k = -5.