Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
x squared plus 3 equals negative 4 x
(1 point)
Responses
1, 3
1, 3
negative 1, negative 3
Image with alt text: negative 1, negative 3
1, negative 3
Image with alt text: 1, negative 3
negative 1, 3
To solve this equation using the quadratic formula, we first need to rewrite the equation in the form ax^2 + bx + c = 0. The given equation is x^2 + 4x + 3 = 0.
Comparing this to the general form, we have a = 1, b = 4, and c = 3.
Now we can apply the quadratic formula:
x = [-b ± sqrt(b^2 - 4ac)] / 2a
Plugging in the values:
x = [-4 ± sqrt((4)^2 - 4(1)(3))] / 2(1)
x = [-4 ± sqrt(16 - 12)] / 2
x = [-4 ± sqrt(4)] / 2
x = [-4 ± 2] / 2
There are two possible solutions:
x = (-4 + 2) / 2 = -2 / 2 = -1
x = (-4 - 2) / 2 = -6 / 2 = -3
Therefore, the solutions to the equation x^2 + 4x + 3 = 0 are x = -1 and x = -3. So the correct answer is negative 1, negative 3.