Question

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
x° +3=-4x
(1 point)
01,3
0-1,-3
0 1, -3
0-1, 3

Answer 1

To solve the equation x^2 + 3 = -4x, we first need to rewrite the equation in standard form:

x^2 + 4x + 3 = 0

Now, we can use the quadratic formula to find the solutions for x:

x = [-b ± √(b^2 - 4ac)] / 2a

In this case:
a = 1, b = 4, c = 3

x = [-4 ± √(4^2 - 4*1*3)] / 2*1
x = [-4 ± √(16 - 12)] / 2
x = [-4 ± √4] / 2
x = (-4 + 2) / 2 or x = (-4 - 2) / 2
x = -2 / 2 or x = -6 / 2
x = -1 or x = -3

Therefore, the solutions to the equation x^2 + 3 = -4x are x = -1 and x = -3. So, rounded to the nearest hundredth, x = -1 and x = -3.