sunil is solving the quadratic equation by completing the square. 6x² + 24x + 5 = 0 6x² + 24x = -5 what…
sunil is solving the quadratic equation by completing the square. 6x² + 24x + 5 = 0 6x² + 24x = -5 what should sunil do next? isolate the variable x². isolate the constant. factor 6 out of the variable terms. subtract 24x from both sides of the equation.
Answer
Explanation:
Step1: Recall completing - the - square steps
When solving a quadratic equation (ax^{2}+bx + c = 0) ((a\neq0)) by completing the square, after moving the constant term to the other side ((ax^{2}+bx=-c)), the next step is to make the coefficient of (x^{2}) equal to 1. In the equation (6x^{2}+24x=-5), the coefficient of (x^{2}) is 6. To make the coefficient of (x^{2}) equal to 1, we factor out the greatest - common factor of the variable terms.
Step2: Analyze the given options
Isolating (x^{2}) directly is not the correct next step. Isolating the constant has already been done. Subtracting (24x) from both sides will take us back to the original form of the equation. Factoring 6 out of the variable terms ((6x^{2}+24x = 6(x^{2}+4x))) is the correct next step as it simplifies the process of completing the square for the quadratic expression in (x).
Answer:
Factor 6 out of the variable terms.