Question

What number should be added to both sides of the equation to complete the square? x2 + 3x = 6

Answer 1

The required number is $(\frac{3}{2})^2=\frac{9}{4}$.

Step-by-step explanation:

Given : Equation $x^2+3x=6$

To find : What number should be added to both sides of the equation to complete the square?

Solution :

Equation $x^2+3x=6$

To make it complete square we add half square of coefficient of x,

i.e. $x^2+3x+(\frac{3}{2})^2=6+(\frac{3}{2})^2$

$(x+\frac{3}{2})^2=6+\frac{9}{4}$

$(x+\frac{3}{2})^2=frac{24+9}{4}$

$(x+\frac{3}{2})^2=frac{33}{4}$

Therefore, the required number is $(\frac{3}{2})^2=\frac{9}{4}$.

#Learn more

What number should be added to both sides of the equation to complete the square? x2 + 12x = 11

https://brainly.in/question/5180768

Answer 2

Answer: B

Step-by-step explanation: Edgenuity 2021