To solve the equation x^2 + 5x + 6 = 0, we can factor the quadratic expression:
x^2 + 5x + 6 = 0
(x + 3)(x + 2) = 0
Now, we can set each factor to zero and solve for x:
x + 3 = 0
x = -3
x + 2 = 0
x = -2
Therefore, the solutions to the equation x^2 + 5x + 6 = 0 are x = -3 and x = -2.
x squared + 5x + 6 = 0 solve
3 answers
no factoring
Okay, we can solve the equation x^2 + 5x + 6 = 0 by using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
In this case, a = 1, b = 5, and c = 6. Plugging these values into the quadratic formula, we get:
x = (-5 ± √(5^2 - 4*1*6)) / 2*1
x = (-5 ± √(25 - 24)) / 2
x = (-5 ± √1) / 2
x = (-5 ± 1) / 2
So, the solutions to the equation x^2 + 5x + 6 = 0 are:
x = (-5 + 1) / 2 = -4 / 2 = -2
x = (-5 - 1) / 2 = -6 / 2 = -3
Therefore, x = -2 and x = -3 are the solutions to the equation.
x = (-b ± √(b^2 - 4ac)) / 2a
In this case, a = 1, b = 5, and c = 6. Plugging these values into the quadratic formula, we get:
x = (-5 ± √(5^2 - 4*1*6)) / 2*1
x = (-5 ± √(25 - 24)) / 2
x = (-5 ± √1) / 2
x = (-5 ± 1) / 2
So, the solutions to the equation x^2 + 5x + 6 = 0 are:
x = (-5 + 1) / 2 = -4 / 2 = -2
x = (-5 - 1) / 2 = -6 / 2 = -3
Therefore, x = -2 and x = -3 are the solutions to the equation.
1 answer