Question

Solve for x in the equation x² + 4x - 4 = 0.

a) x = -2
b) x = 1
c) x = -1 ± √5
d) x = -2 ± √2

Answer 1

To solve the equation x² + 4x - 4 = 0, use the quadratic formula: x = (-b ± √(b² - 4ac))/(2a). Simplify to x = -2 ± √2.

Step-by-step explanation:

To solve the equation x² + 4x - 4 = 0, we can use the quadratic formula: x = (-b ± √(b² - 4ac))/(2a). In this case, a = 1, b = 4, and c = -4. Substituting these values into the formula, we get x = (-4 ± √(4² - 4(1)(-4)))/(2(1)). Simplifying, we have x = (-4 ± √(16 + 16))/2, which gives us x = (-4 ± √32)/2. Further simplifying, we have x = -2 ± √2.