Answer:
To solve the quadratic equation x^2 + 2x - 5 = 0, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
For the given equation, the coefficients are:
a = 1
b = 2
c = -5
Substituting these values into the quadratic formula, we have:
x = (-2 ± √(2^2 - 4(1)(-5))) / (2(1))
= (-2 ± √(4 + 20)) / 2
= (-2 ± √24) / 2
= (-2 ± 2√6) / 2
Simplifying further, we get:
x = (-2 ± 2√6) / 2
= -1 ± √6
Hence, the solutions to the quadratic equation x^2 + 2x - 5 = 0 are:
x = -1 + √6
x = -1 - √6