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denis23 [38]
2 years ago
10

Complete each statement in the steps to solve x2 – 4x + 3 = 0 using the process of completing the square. Isolate the constant b

y ________ 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.
Mathematics
2 answers:
Bad White [126]2 years ago
8 0

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.

vampirchik [111]2 years ago
8 0

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:

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The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece choo
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Answer:

The value of x lies between 20 and 40 and value of y lies between -20 and 10

Step-by-step explanation:

We are given that

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First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.

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Put x=0 in equation (3)

y=40

Substitute y=0 in equation (3)

x=40

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Substitute y=0 in equation (4)

x=20

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40\leq 40

Hence, the equation is true.Therefore, the shaded region below the line.

Substitute x=0 and y=-20 in equation (2)

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Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.

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\huge\color{aqua}{\boxed{{\colorbox{black}{hope \: it \: helps}}}}

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