Answer:
x = -2 ± √10
Step-by-step explanation:
x^2 + 4x − 6 = 0
Method I - Solve by completing the square
Add 6 to both sides
x^2 + 4x = 6
use half the x coefficient (4/2 = 2) as the complete the square term.
(x + 2)² = 6 + 2²
(x + 2)² = 10
Take the square root of both sides
x + 2 = ±√10
subtract 2 from both sides
x = -2 ± √10
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M ethod II - Quadratic equation
x = [ -b ± √(b² - 4ac) ] / (2a)
x = [ -4 ± √ (4² - 4(1)(-6)) ] / 2
x = [ -4 ± √ (16 + 24) ] / 2
x = [ -4 ± √40 ] / 2
x = [ -4 ± √(4 * 10) ] / 2
x = [ -4 ± 2√10 ] / 2
x = -2 ± √10
