Question

Solve –2x2 +3x – 9 = 0

Answer 1

\[-2x ^{2}+3x-9=0\] there is no solution.

Answer 2

If you are interested why there is no solution, that's because the parabola lives under the x-axis and never touches/crosses the x-axis

Answer 3

but it says that there is a solution... Solve –2x2 +3x – 9 = 0

x equals quantity of 3 plus or minus 3i square root of 7 all over 4

x equals quantity of 3 plus or minus 9i square root of 7 all over 4

x equals quantity of negative 3 plus or minus 3i square root of 7 all over 4

x equals quantity of negative 3 plus or minus 9i square root of 7 all over 4

Answer 4

Oh, so you are looking for imaginary solution! Yes, there is solution, and it is \[x= \frac{ 3(1*+i \sqrt{7} )}{ 4}, \frac{ 3(1-i \sqrt{7} )}{ 4}\]

Answer 5

ignore this "*"

Answer 6

\[x= \frac{ 3(1+i \sqrt{7} )}{ 4} , \frac{ 3(1-i \sqrt{7} )}{ 4}\]