what is x squared plus 12x plus 11 equals
x^2 + 12x + 11 = ????
incomplete question.
What is the completing the square x2-12x plus 11=0
To solve the equation x^2 + 12x + 11 = 0, we can use the quadratic formula or factoring.
Let's start with factoring:
1. Check if the equation can be factored. In this case, it cannot be easily factored, so we'll move on to the quadratic formula.
Now, let's use the quadratic formula:
2. The quadratic formula states that for an equation in the form ax^2 + bx + c = 0, the solutions for x are given by the formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
In our case, a = 1, b = 12, and c = 11.
3. Substituting these values into the quadratic formula, we have:
x = (-12 ± √(12^2 - 4(1)(11))) / (2(1))
4. Simplifying further, we have:
x = (-12 ± √(144 - 44)) / 2
x = (-12 ± √100) / 2
x = (-12 ± 10) / 2
5. Now, we have two solutions:
x1 = (-12 + 10) / 2 = -1
x2 = (-12 - 10) / 2 = -11
Therefore, the solutions to the equation x^2 + 12x + 11 = 0 are x = -1 and x = -11.