Final answer:
In this case, the solutions to the equation x² + 5x + 6 = 0 are x = -2 and x = -3.
Step-by-step explanation:
To find a solution to the equation x² + 5x + 6 = 0, we can use the quadratic formula. The quadratic formula states that for any quadratic equation in the form ax² + bx + c = 0, the solutions for x can be found using the formula:
x = (-b ± √(b² - 4ac)) / (2a)
In our equation, a = 1, b = 5, and c = 6. Let's substitute these values into the quadratic formula:
x = (-(5) ± √((5)² - 4(1)(6))) / (2(1))
Simplifying further:
x = (-5 ± √(25 - 24)) / 2
x = (-5 ± √1) / 2
x = (-5 ± 1) / 2
Now, let's evaluate both possible solutions:
Solution 1:
x = (-5 + 1) / 2
x = -4 / 2
x = -2
Solution 2:
x = (-5 - 1) / 2
x = -6 / 2
x = -3
Therefore, the solutions to the equation x² + 5x + 6 = 0 are x = -2 and x = -3.
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Find a solution to the exact equation?
x²+ 5x + 6 = 0.