Answer:To solve the equation x^2 + x - 126 = 0, we can use the quadratic formula or factoring method.
Let's use the quadratic formula to find the solutions:
Step 1: Identify the coefficients:
a = 1 (coefficient of x^2)
b = 1 (coefficient of x)
c = -126 (constant term)
Step 2: Apply the quadratic formula:
The quadratic formula states that for an equation of the form ax^2 + bx + c = 0, the solutions for x are given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
Plugging in the values from our equation:
x = (-1 ± √(1^2 - 4(1)(-126))) / (2(1))
Simplifying:
x = (-1 ± √(1 + 504)) / 2
x = (-1 ± √505) / 2
So, the solutions to the equation x^2 + x - 126 = 0 are:
x = (-1 + √505) / 2
x = (-1 - √505) / 2
Explanation: