Question
Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. x2 +3=-4x (1 point)
Answers
Answered by
GPT 3.5
To solve this equation using the quadratic formula, we first need to rewrite it in standard form:
x^2 + 4x + 3 = 0
Now, we can identify that a = 1, b = 4, and c = 3 in the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
Plugging in the values into the formula:
x = (-4 ± √(4^2 - 4(1)(3))) / 2(1)
x = (-4 ± √(16 - 12)) / 2
x = (-4 ± √4) / 2
x = (-4 ± 2) / 2
Now we have two possible answers:
x1 = (-4 + 2) / 2
x1 = -2 / 2
x1 = -1
x2 = (-4 - 2) / 2
x2 = -6 / 2
x2 = -3
Therefore, the solutions to the equation x^2 +4x + 3 = 0 are x = -1 and x = -3.
x^2 + 4x + 3 = 0
Now, we can identify that a = 1, b = 4, and c = 3 in the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
Plugging in the values into the formula:
x = (-4 ± √(4^2 - 4(1)(3))) / 2(1)
x = (-4 ± √(16 - 12)) / 2
x = (-4 ± √4) / 2
x = (-4 ± 2) / 2
Now we have two possible answers:
x1 = (-4 + 2) / 2
x1 = -2 / 2
x1 = -1
x2 = (-4 - 2) / 2
x2 = -6 / 2
x2 = -3
Therefore, the solutions to the equation x^2 +4x + 3 = 0 are x = -1 and x = -3.