Subjects algebra

Solve Abc E45F51

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1. Let's start by stating the problem: We want to solve for variables $a$, $b$, and $c$ given some equations or conditions involving these variables. 2. Since the user mentioned "Bro y is not = x" and wants to solve for $a$, $b$, and $c$, it suggests we have a system or expressions where $y$ is not equal to $x$, and we need to find values of $a$, $b$, and $c$. 3. Typically, if we have an equation like $y = ax^2 + bx + c$, solving for $a$, $b$, and $c$ requires either points or conditions. 4. Without explicit equations or values, the general approach is: - Use given points $(x_i, y_i)$ to create equations: $y_i = a x_i^2 + b x_i + c$ - Solve the resulting system of linear equations for $a$, $b$, and $c$. 5. Important rules: - Each point gives one equation. - To solve for three variables, you need at least three distinct points. 6. Example: Suppose we have points $(x_1, y_1)$, $(x_2, y_2)$, $(x_3, y_3)$. Then: $$ \begin{cases} y_1 = a x_1^2 + b x_1 + c \\ y_2 = a x_2^2 + b x_2 + c \\ y_3 = a x_3^2 + b x_3 + c \end{cases} $$ 7. Solve this system using substitution, elimination, or matrix methods. 8. Without specific values, we cannot find numeric answers, but this is the method to solve for $a$, $b$, and $c$ when $y \neq x$. If you provide the specific equations or points, I can help solve for $a$, $b$, and $c$ explicitly.