By solving x² + 2x - 2 = 0 we get _____?
- x = -1 ± √3
- x = 1 ± √3
- x = 1 + √3
- None of these
Explanation
Given the quadratic equation x² + 2x - 2 = 0:
Step 1: Apply the quadratic formula
x = (-b ± √(b² - 4ac)) / 2a
Here, a = 1, b = 2, and c = -2.
Step 2: Calculate the roots
x = (-(2) ± √((2)² - 4_1_(-2))) / 2*1
x = (-2 ± √(4 + 8)) / 2
x = (-2 ± √12) / 2
x = (-2 ± 2√3) / 2
x = -1 ± √3
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