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QuizMultiple Choice

Solving Quadratic Equations: Completing the Square (Continued) — Quiz

Question 2 • Algebra I

Sunil is solving the quadratic equation by completing the square. 6 x squared plus 24 x plus 5 is equal to 0 6 x squared plus 24 x is equal to negative 5 What should Sunil do next?

Answer
A
Isolate the constant.
B
Isolate the variable x squared .
C
Factor 6 out of the variable terms.
D
Subtract 24 x from both sides of the equation.

Explanation

After moving 5 to the right, Sunil has 6x² + 24x = −5. To complete the square, first make the coefficient of x² equal to 1 by factoring 6 from the variable terms: 6(x² + 4x) = −5. Then he can complete the square inside the parentheses.

AI-written and checked against the verified answer.

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