How many solutions 4x2 plus 8x plus 3 equals 0?

Answer 1

Start with the equation 4x2 + 8x + 3 = 0.

Invoke the quadratic equation:

x = [-b ± √(b2 - 4ac)]/2a, where a = 4, b = 8, and c = 3.

Plug in the values for a, b, and c and solve:

x = [-8 ± √(82 - 4*4*3)]/2*4,

x = [-8 ± √(64 - 48)]/8,

x = -1 ± √(16)/8,

x = -1 ± 1/2,

x = {-1/2, -3/2}.