Home > Math > Detail

2. Paula said that only quadratic equations with leading coefficients of 1 can be solved by completing the square. Is Paula correct? Explain.


Correct. Step-by-step explanation: It is crucial to bear in mind that we cannot have a coefficient on the squared term when we are completing the square. Suppose we have the equation 3x² - 12x - 12 = 0² . Firstly, we should divide both sides of the equation by the squared term, which in this case is 3, to eliminate it. Consequently, we obtain x² - 4x - 4 = 0 . To complete the square, you should derive that x = 2 ± 2√2.