Answer:
5x^2 - 11x = 1
This is now in standard form, where a = 5, b = -11, and c = 1.
Explanation:
To rewrite the equation 11x - 5x^2 + 7 = 6 in standard form, we need to rearrange the terms so that the polynomial is in descending order of degree, with no missing terms. The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants.
So, let's start by moving the constant term to the right-hand side of the equation:
11x - 5x^2 = 6 - 7
11x - 5x^2 = -1
Next, we can multiply both sides of the equation by -1 to make the coefficient of the x^2 term positive:
5x^2 - 11x = 1
This is now in standard form, where a = 5, b = -11, and c = 1.