Question

determine the values of a, b, and c for the quadratic equation: 4x² - 8x = 3 options: a=4, b=8, c=3; a=4, b=-8, c=-3; a=4, b=8, c=-3; a=4, b=-8, c=3

Explanation:

Step1: Recall Quadratic Form

The standard quadratic equation is \(ax^2 + bx + c = 0\), where \(a
eq0\).

Step2: Rewrite Given Equation

Given equation: \(4x^2 - 8x = 3\). Subtract 3 from both sides: \(4x^2 - 8x - 3 = 0\).

Step3: Identify Coefficients

Compare with \(ax^2 + bx + c = 0\). So, \(a = 4\), \(b = -8\), \(c = -3\).

Answer:

a = 4, b = -8, c = -3 (the option with these values, e.g., if the second option is "a = 4, b = -8, c = -3", then that's the answer)