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nikklg [1K]
3 years ago
8

Place the following steps in order to complete the square and solve the quadratic equation,

Mathematics
1 answer:
dlinn [17]3 years ago
5 0

Answer:

See explanation

Step-by-step explanation:

Given the equation

x^2-6x+7=0

<u>Step 1:</u> Add -7:

x^2-6x=-7

<u>Step 2:</u> Add 9:

x^2-6x+9=-7+9\\ \\x^2-6x+9=2

<u>Step 3:</u> Use perfect square formula:

x^2-6x+9=(x-3)^2\\ \\(x-3)^2=2

<u>Step 4:</u> Take square root:

\sqrt{(x-3)^2}= \sqrt{2}

<u>Step 5:</u> Simplify:

x-3=\sqrt {2}\text{ or }x-3=-\sqrt{2}

<u>Step 6:</u> Add 3:

x=3+\sqrt{2}\text{ or }x=3-\sqrt{2}

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