C. 1 solution hope it helps
Answer:
x = - 3 ± ![\sqrt{10}](https://tex.z-dn.net/?f=%5Csqrt%7B10%7D)
Step-by-step explanation:
Given
4x² + 24x = 4 ( divide through by 4 )
x² + 6x = 1
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 1 + 9
(x + 3)² = 10 ( take the square root of both sides )
x + 3 = ±
( subtract 3 from both sides )
x = - 3 ± ![\sqrt{10}](https://tex.z-dn.net/?f=%5Csqrt%7B10%7D)
Answer:
B
Step-by-step explanation:
![\frac{3+4\iota}{2+4\iota}=\frac{3+4 \iota}{2+4\iota} \times \frac{2-4 \iota}{2-4 \iota}\\=\frac{6 -12 \iota+8 \iota-16 \iota^2 }{4-16 \iota^2 }\\=\frac{ 6-4 \iota+16}{4+16}\\=\frac{22-4 \iota}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B3%2B4%5Ciota%7D%7B2%2B4%5Ciota%7D%3D%5Cfrac%7B3%2B4%20%5Ciota%7D%7B2%2B4%5Ciota%7D%20%5Ctimes%20%5Cfrac%7B2-4%20%5Ciota%7D%7B2-4%20%5Ciota%7D%5C%5C%3D%5Cfrac%7B6%20-12%20%5Ciota%2B8%20%5Ciota-16%20%5Ciota%5E2%20%20%7D%7B4-16%20%5Ciota%5E2%20%20%7D%5C%5C%3D%5Cfrac%7B%206-4%20%5Ciota%2B16%7D%7B4%2B16%7D%5C%5C%3D%5Cfrac%7B22-4%20%5Ciota%7D%7B20%7D)