You need to use the quadratic formula to solve this. First make sure to get everything on one side so the equation equals 0. 4x² + x + 3 = 0
x = (-b +/-√b² - 4ac)/2a x = (-1 +/-√1² - 4(4)(3))/2(4) x = (-1 +/-√1 - 48)/8 x = (-1 +/-√-47)/8
Now before you continue, remember that you can't have a negative number in the square root. √-47 is the same as √47 × √-1. √-1 is the same thing as i, so you can take that out. It will now look like this: i√47 So now you can continue doing the problem.
x = (-1 +/- i√47)/8 x = -1/8 +/- (i√47)/8 This can't really be simplified further.
So if you are meant to put it in a + bi form, then the answers would be: x = -1/8 + (i√47)/8 x = -1/8 - (i√47)/8
