Solve the equation and express each solution in a+bi form. 7x^2+18=0

x = 0 ±3/7 i sqrt (14)

Step-by-step explanation:

7x^2 + 18 = 0

subtract 18 from each side

7x^2 = - 18

divide by 7

x^2 = - 18/7

take the square root of each side

sqrt (x^2) = ±sqrt (-18/7)

sqrt (x^2) = ±sqrt (-1) sqrt (18/7)

sqrt (-1) = i

x = ±isqrt (18/7)

x = ±isqrt (18) / sqrt (7)

x = ±isqrt (9) sqrt (2) / sqrt (7)

x = ±3i sqrt (2) / sqrt (7)

cannot leave a sqrt in the denominator

x = ±3i sqrt (2) * sqrt (7) / (sqrt (7) * sqrt (7))

x = ±3i sqrt (14) / 7

x = ±3/7 i sqrt (14)