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Lunna [17]
3 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]3 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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3 years ago
The solution set to 6 + 2n &gt; 12 is n &gt; 3. Which are the correct representations of this solution? Select two options.
Alina [70]

The correct representation of 6 + 2n > 12 (n > 3) is  (3, ∞) and a number line with an open circle at +3 and being shaded from +3 to +5.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation::

6 + 2n > 12

Subtracting 6 from both sides:

6 + 2n - 6 > 12 - 6

2n > 6

Dividing by 2:

n > 3

The correct representation of 6 + 2n > 12 (n > 3) is  (3, ∞) and a number line with an open circle at +3 and being shaded from +3 to +5.

Find out more on equation at: brainly.com/question/2972832

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3 0
1 year ago
if Michael had four oranges and Timmy had 5 oranges and they combined them together how many oranges do they have in total
bija089 [108]
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3 years ago
Read 2 more answers
BC = 36; D = 15. What is the value of BD - AC.<br> B<br> A<br> BD - AC =
Snezhnost [94]

Answer:

BD - AC = 0

Step-by-step explanation:

Given that:

BC = 36 , CD = 15 and BD = x

As these are forming right angled triangle,

Using Pythagorean theorem,

(BD)^2+(CD)^2=x^2\\(36)^2+(15)^2 = x^2\\1296 + 225 = x^2\\1521 = x^2\\

Taking square root on both sides

\sqrt{x^2}=\sqrt{1521}\\x=39

As the given shape is rectangular, the sides parallel to each other will have same values.

AB = 15 , AD = 36 and AC = x

(15)^2+(36)^2 = x^2 \\225 + 1296 = x^2 \\1521 = x^2 \\x = 39

Now,

BD - AC = 39 - 39 = 0

Hence,

BD - AC = 0

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3 years ago
Complete the input-output table for the function y = 3x.<br><br> Input-Output table
Jobisdone [24]

Answer:

Y: 0, x:0

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Y: 2, x: 6

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