Final answer:
The real solutions of the given equation x² + x - 4 = 0 can be found using the quadratic formula.
Step-by-step explanation:
The given equation can be rewritten as:
x² + x - 4 = 0
Using the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
Plugging in the values a = 1, b = 1, and c = -4 into the formula, we get:
x = (-1 ± √(1² - 4(1)(-4))) / 2(1)
Calculating the values inside the square root:
x = (-1 ± √(1 + 16)) / 2
Simplifying the square root:
x = (-1 ± √17) / 2
So, the real solutions are:
x = (-1 + √17) / 2
x = (-1 - √17) / 2