solve for x:
x^2+12x+4 = 0
To solve the quadratic equation x^2 + 12x + 4 = 0, we can use the quadratic formula. The quadratic formula states that for an equation in the form ax^2 + bx + c = 0, the solutions for x are given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
In our case, a = 1, b = 12, and c = 4. We can substitute the values into the formula and solve for x.
x = (-12 ± √(12^2 - 4(1)(4))) / (2 * 1)
x = (-12 ± √(144 - 16)) / 2
x = (-12 ± √(128)) / 2
x = (-12 ± √(64 * 2)) / 2
x = (-12 ± 8√2) / 2
x = -6 ± 4√2
Therefore, the solutions for x are:
x = -6 + 4√2
x = -6 - 4√2