Question

What is the solution?. 1/2x2 – x + 5 = 0

Answer 1

1/2 x^2 - x + 5 = 0
Multiply through by 2 to get:
x^2 - 2x + 10 = 0

`x= (-b\pm√(b^2-4ac))/(2a)`; where a = 1, b = -2 and c = 10

`x=(-(-2)\pm√((-2)^2-(4*1*10)))/(2*1)\\=(2\pm√(4-40))/(2)\\=(2\pm√(-36))/(2)\\=(2\pm6i)/(2)\\=1\pm3i`
Therefore, x = 1 + 3i or x = 1 - 3i