WILL MEDAL
Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
x^2 + 3 = -4x

Question

WILL MEDAL
Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. 
x^2 + 3 = -4x

anonymous · Answer

Out the '-4x' on the left to get a quadratic equation. You will get:
$$x^2 + 4x + 3 = 0$$
Now we can factorize to find solution. Factorize 3 to its components, you will get 1 and 3. And this 3 and 1 also add up to 4 (which is the coefficent of '4x'). So we can write the equation like this:
$$(x+3)(x+1) = 0$$
$$x + 3 = 0 => x_{1} = -3$$
$$x + 1 = 0 => x_{2} = -1$$

So our solution is pair of (-3, -1).