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expeople1 [14]
2 years ago
12

Find the term that must be added to the equation x2 6x=1 to make it into a perfect square.

Mathematics
1 answer:
andrezito [222]2 years ago
3 0

The value added to the equation $x^2-6x=1 exists $x^2-6x+9=10.

<h3>What is a perfect square?</h3>

A perfect square exists as a number that can be described as the product of an integer by itself or as the second exponent of an integer.

The perfect square trinomial exists

(a ± b)^2 = a ^2 ± 2ab + b ^2

$x^2-6x=1

x^2-2*3x=1

then $2ab = 2 * 3*x = 2 * x *3

The value of a = x and b = 3

$b^2=3^2=9

$x^2-6x+9=1+9

$x^2-6x+9=10

The value added to the equation $x^2-6x=1 exists $x^2-6x+9=10.

To learn more about perfect square refer to: brainly.com/question/6946048

#SPJ4

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Lance has 3 time as many pencils as Nick, and they have 84 pencils together. How many pencils does each of them have?
Rufina [12.5K]

Answer:

21 pencils for Nick and 63 pencils for Lance

Step-by-step explanation:

  • Lance is said to have 3 times the pencils Nick has.
  • Let's keep the number of pencils Nick has as x.
  • If Nick has x pencils that means Lance has 3x pencils.
  • The total number of pencils present is 84.

Now let's make an equation out of the information above:

3x + x = 84

Now solve for x.

3x + x = 84

4x = 84

x = 84/4

x = 21

So Nick has 21 pencils

Now for Lance:

3x

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8 0
3 years ago
Find the inverse function
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(?) is (-1) and that gray blank thing is 3.
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Answer:

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6 0
3 years ago
For what values of x is x^2 + 2x = 24 true?
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Answer:

x = -6, x = 4

Step-by-step explanation:

<u>Step 1:  Factor</u>

<em>Subtract 24 from both sides</em>

x^2 + 2x- 24 = 24 - 24

x^2 + 2x - 24 = 0

<em>Make two different x's</em>

x^2 + 2x - 24 = 0

x^2 + 6x - 4x - 24 = 0

<em>Make two different parenthesis</em>

x^2 + 6x - 4x - 24 = 0

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x + 6 = 0

x + 6 - 6 = 0- 6

x = -6

x - 4 = 0

x - 4 + 4 = 0 + 4

x = 4

Answer:  x = -6, x = 4

6 0
3 years ago
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