Question

Solve for x.
2x² =2x - 3

Answer 1

`\displaystyle x=(1\pm√(5)i)/(2)`

Explanation:

`\displaystyle 2x^2=2x-3\\2x^2-2x+3=0\\\\x=(-(-2)\pm√((-2)^2-4(2)(3)))/(2(2))\\\\x=(2\pm√(4-24))/(4)\\ \\x=(2\pm√(-20))/(4)\\ \\x=(2\pm2√(5)i)/(4)\\\\x=(1\pm√(5)i)/(2)`