Answer:
So, the solutions for X are X = 4 and X = -6.
Explanation:
To solve the quadratic equation X² + 2X - 24 = 0, you can use the quadratic formula:
X = (-B ± √(B² - 4AC)) / (2A)
In this equation, A = 1, B = 2, and C = -24. Now, plug these values into the quadratic formula:
X = (-2 ± √(2² - 4 * 1 * (-24))) / (2 * 1)
X = (-2 ± √(4 + 96)) / 2
X = (-2 ± √100) / 2
X = (-2 ± 10) / 2
Now, you have two possible solutions:
1. X = (-2 + 10) / 2 = 8 / 2 = 4
2. X = (-2 - 10) / 2 = -12 / 2 = -6
So, the solutions for X are X = 4 and X = -6.