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
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
.