Question

Solve the quadratic equation below. Give approximate answer(s).

x^2 + 4x + 2 = 0
A
4.45 and -0.45
B
-0.59 and -3.41
са
3.41 and 0.59
D
0.45 and -4.45

Answer 1

B

Explanation:

x^2 + 4x + 2 = 0; a=1, b=4, c=2

D= b^2 - 4ac = 16 - 8 = 8>0

-> x1/2= (-b +/- √D)÷2×a= (-4 +/- √8)÷2= 2(-2 +/- √2)÷2

= -2 +/- √2

×1=-2+ √2 ≈ -0.59

×2=-2- √2 ≈ -3.41

therefore, b)