Question

Complete each statement in the steps to solve x2 – 4x + 3 = 0 using the process of completing the square. Isolate the constant by ________ both sides of the equation. Add ____ to both sides of x2 – 4x = –3 to form a perfect square trinomial while keeping the equation balanced. Write the trinomial _____ x2 – 4x + 4 as squared. Use the square root property of equality to get x – 2 = ± _____ . Isolate the variable to get solutions of 1 and 3.

Answer 1

Answer:

1. Add -3

2. Add 4

3. Write the trinomial as $(x-2)^2$

4. $\pm 1$

Step-by-step explanation:

1.  Isolate the constant from the equation $x^2-4x+3=0$ by adding -3 to both sides of the equation. Then

$x^2-4x+3+(-3)=0+(-3),\\ \\x^2-4x=-3.$

2. Add 4 to both sides of equation $x^2-4x=-3:$

$x^2-4x+4=-3+4,\\ \\x^2-4x+4=1.$

3. Write the trinomial $x^2-4x+4$ as perfect square:

$x^2-4x+4=(x-2)^2.$

4. Use the square root property to get

$x-2=1\text{ or }x-2=-1,\\ \\x=3\text{ or }x=1.$

Answer 2

Answer:

Some of the steps for completing the square to solve

x2 + 5x = 2 are shown.

x2 + 5x = 2

x2 + 5x +  = 2 +  

Which are solutions of x2 + 5x = 2? Check all that apply.

Step-by-step explanation: