Solve the quadratic equation by completing the square.

0 = x2 – 6x + 4

–4 = x2 – 6x

–4 + 9 = (x2 – 6x + 9)

5 = (x – 3)2

What are the two solutions of the equation?

x = StartRoot 5 EndRoot and x = negative StartRoot 5 EndRoot
x = 3 + StartRoot 5 EndRoot and x = 3 – StartRoot 5 EndRoot
x = 5 + StartRoot 3 EndRoot and x = 5 – StartRoot 3 EndRoot
x = StartRoot five-thirds EndRoot and x = negative StartRoot five-thirds EndRoot

x = 3 + StartRoot 5 EndRoot and x = 3 – StartRoot 5 EndRoot

Step-by-step explanation:

(x - 3)^2 = 5

x - 3 = ±√5

x = 3 + √5, 3 - √5.

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.

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .