The given expression appears to contain some formatting issues. However, if we interpret it as a standard quadratic equation, we can rewrite it more clearly. The standard form of a quadratic equation is typically stated as:
ax² + bx + c = 0
In our case, it looks like you’re asking about the quadratic equation to be derived from the expression x² + 11x + 24 = 0. Let’s break it down:
- a = 1 (the coefficient of x²)
- b = 11 (the coefficient of x)
- c = 24 (the constant term)
This is a standard quadratic equation in its current form. To find equivalent expressions, we can factor or use the quadratic formula if needed. First, let’s check if it can be factored:
We need two numbers that multiply to 24 (the constant term) and add up to 11 (the coefficient of x). These numbers are 3 and 8. Thus, we can factor the quadratic as follows:
(x + 3)(x + 8) = 0
Setting each factor equal to zero gives us the solutions:
- x + 3 = 0 → x = -3
- x + 8 = 0 → x = -8
Therefore, the equivalent quadratic equation to your expression, which also provides the roots, is:
(x + 3)(x + 8) = 0
In conclusion, x² + 11x + 24 = 0 and its equivalent factored form, (x + 3)(x + 8) = 0, are the accurate representations of the quadratic equation.