If using the method of completing the square to solve the quadratic equation x^2+3x-13=0x 2 +3x−13=0, which number would have to be added to "complete the square"?

Step-by-step explanation:

Given

x² + 3x - 13 = 0 ( add 13 to both sides )

x² + 3x = 13

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2( )x + ( )² = 13 + ( )², that is

x² + 2( )x + = 13 +

(x + )² =

The required number to be added to complete the square is

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.