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If Using the Method of Completing the Square to Solve the Quadratic Equation X^2-19x-3=0 Which Number Would Have to Be Added to

Question

If using the method of completing the square to solve the quadratic equation x^2-19x-3=0 which number would have to be added to "complete the square"? Answer Attemptiont of 2 square

Solution

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4 (293 Votos)
Dieggo Elite · Tutor por 8 anos

Resposta

To complete the square for the quadratic equation , we need to focus on the quadratic and linear terms: .The general form of a quadratic expression is . To complete the square, we add and subtract \(\left(\frac{b}{2}\right)^2\), where is the coefficient of .In this case, . So, we calculate \(\left(\frac{-19}{2}\right)^2\): Therefore, the number that needs to be added to complete the square is .