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Write the following equation in the form ax² + bx + c = 0, then write the values of a, b, c for each equation. x²+5x=-(3-x)

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Final answer:

To convert the original equation to ax^2 + bx + c = 0, it becomes x^2 + 4x + 3 = 0 after simplifying. The values for a, b, and c are 1, 4, 3.

Step-by-step explanation:

To rewrite the provided equation in the form ax^2 + bx + c = 0, we first need to move all terms to one side of the equation by adding both sides by 3-x. So, the equation becomes:

x^2 + 5x + 3 - x = 0

This simplifies to x^2 + 4x + 3 = 0. Therefore, in the standard form ax^2 + bx + c = 0, we can instantly see that the coefficients a, b, and c are 1, 4, and 3 respectively.

Learn more about Standard Form of a Quadratic Equation

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