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Lunna [17]
4 years ago
10

place the following steps in order to complete the square and solve the quadratic equation, x^2-6x+7=0

Mathematics
1 answer:
MatroZZZ [7]4 years ago
4 0
We have that
x²<span>-6x+7=0
</span>Group terms that contain the same variable
(x²-6x)+7=0
Complete the square  Remember to balance the equation
(x²-6x+9-9)+7=0
Rewrite as perfect squares
(x-3)²+7-9=0
(x-3)²-2=0
(x-3)²=2
(x-3)=(+/-)√2
x=(+/-)√2+3

the solutions are
x=√2+3
x=-√2+3



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A square has an area of 64 square meters.
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Answer:

Side is 8 meters, Perimeter is 32 meters

Step-by-step explanation:

<em>One side </em>

Squares have 4 equal sides.  Area is found using l*w, but the sides are all equal in squares. Therefore, the area can be found using:

a=s^2

We know the area is 64, so we can substitute that in

64=s^2

Take the square root of both sides

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One side is 8 meters

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Squares have 4 equal sides, and the perimeter is all the sides added up.

p=s+s+s+s

We know the side is 8, so we can substitute that in

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