what number should be added to both sides of the equation to complete the square?\n$x^{2}+3x =…
what number should be added to both sides of the equation to complete the square?\n$x^{2}+3x = 6$\n$\frac{3}{2}$\n$(\frac{3}{2})^{2}$\n$3$\n$6^{2}$
Answer
Explanation:
Step1: Recall the formula for completing the square
For a quadratic equation of the form $x^{2}+bx = c$, the number to add to both sides to complete the square is $(\frac{b}{2})^{2}$.
Step2: Identify the value of b
In the equation $x^{2}+3x = 6$, the coefficient of $x$ is $b = 3$.
Step3: Calculate the number to add
Substitute $b = 3$ into the formula $(\frac{b}{2})^{2}$, we get $(\frac{3}{2})^{2}$.
Answer:
$(\frac{3}{2})^{2}$