Question

Determine the number that will complete the square to solve the equation after the constant term has been written on the right side. Do not solve the equation.

x2+3x−18=0

Answer 1

2.25.

Explanation:

x^2 + 3x - 18 = 0

First, we need to write the constant on the right of the equation. So, we add 18 to both sides.

x^2 + 3x = 18.

Now, we find the number that will complete the square. It will be
`((b)/(2) )^2`.

In this case, b = 3.

`((3)/(2) )^2`

= (1.5)^2

= 2.25.

So, the number that will complete the square to solve the equation is 2.25, or 2 and 1/4, or 9/4.

Hope this helps!

Answer 2

Explanation:

Hello, "the constant term has been written on the right side", it means that we add 18 to both sides to get.

`x^2+3x-18=0\\\\x^2+3x=18\\\\\text{We can see the beginning of } (x+(3)/(2))^2 \\\\x^2+3x=(x+(3)/(2))^2-(3^3)/(2^2)=18\\\\(x+(3)/(2))^2=18+(9)/(4)=(18*4+9)/(4)=(81)/(4)`

Hope this helps.

Thank you.