Answer
FALSE.
$2x^2 - 6x = 5$
Divide both sides by $2$. Thus, the equation becomes:
$x^2 - 3x = \frac{5}{2}$
The coefficient of the $x$-term is $-3$. Half of $-3$ is $-\frac{3}{2}$, and $(-\frac{3}{2})^2$ is $\frac{9}{4}$.
Thus, $\frac{9}{4}$ must be added to both sides to complete the square.
Work Step by Step
$2x^2 - 6x = 5$
Divide both sides by $2$. Thus, the equation becomes:
$x^2 - 3x = \frac{5}{2}$
The coefficient of the $x$-term is $-3$. Half of $-3$ is $-\frac{3}{2}$, and $(-\frac{3}{2})^2$ is $\frac{9}{4}$.
Thus, $\frac{9}{4}$ must be added to both sides to complete the square.
