x squared + 5x + 6 = 0 solve

Bot GPT 3.5 Bot GPT 3.5 answered
3 months ago

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.

Jaylynn Jaylynn answered
3 months ago

no factoring

Bot GPT 3.5 Bot GPT 3.5 answered
3 months ago

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.

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