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Sergio [31]
3 years ago
13

Please Help Solve for X 22x - 74

Mathematics
1 answer:
Murljashka [212]3 years ago
7 0
22x-74=0
+74 +74
22x=74
X= 3.36 repeating
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saul85 [17]

\large\underline{\sf{Solution-}}

<u>Let us assume that:</u>

\sf \longmapsto x =  \sqrt{6 +  \sqrt{6 +  \sqrt{6 + ... \infty } } }

We can also write it as:

\sf \longmapsto x =  \sqrt{6 +  x }

Squaring both sides, we get:

\sf \longmapsto  {x}^{2}  =6 +  x

\sf \longmapsto  {x}^{2} - x - 6  =0

By splitting the middle term:

\sf \longmapsto  {x}^{2} - 3x + 2x - 6  =0

\sf \longmapsto x(x - 3) + 2(x - 3 ) =0

\sf \longmapsto (x+ 2)(x - 3 ) =0

<u>Therefore:</u>

\longmapsto\begin{cases} \sf (x+ 2) =0 \\ \sf (x - 3) = 0 \end{cases}

\sf \longmapsto x =  - 2,3

<u>But x cannot be negative. </u>

\sf \longmapsto x = 3

Therefore, the value of the expression is 3.

\large\underline{\sf{Verification-}}

Given:

\sf\longmapsto x=3

We can also write it as:

\sf\longmapsto x = \sqrt{9}

\sf\longmapsto x = \sqrt{6+3}

\sf\longmapsto x = \sqrt{6 + \sqrt{9}}

\sf\longmapsto x = \sqrt{6 + \sqrt{6+3}}

\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{9}}}

\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+3}}}

This pattern will continue.

\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+...\infty}}}

7 0
2 years ago
How do you spin the spinner 66 times what is the theoretical probability of it landing on on a odd number
MrRa [10]

Answer:

A CIRCLE

Step-by-step explanation:

ITS A BALL AND IT SPINS CAUSE IT HAS NO SIDES TO STOP

4 0
3 years ago
Solve the equation by completing the square
Nana76 [90]

Answer:

s = - 1 ± \sqrt{7}

Step-by-step explanation:

Given

s² + 2s - 6 = 0 ( add 6 to both sides )

s² + 2s = 6

To complete the square

add ( half the coefficient of the s- term )² to both sides

s² + 2(1)s + 1 = 6 + 1

(s + 1)² = 7 ( take the square root of both sides )

s + 1 = ± \sqrt{7} ( subtract 1 from both sides )

s = - 1 ± \sqrt{7}

Thus

s = - 1 - \sqrt{7} , s = - 1 + \sqrt{7}

4 0
3 years ago
To solve this question you have to use TAN COS SIN i give brainiest
ElenaW [278]

Answer:

  • 4.3

Step-by-step explanation:

<u>Use cosine:</u>

  • cos = adjacent / hypotenuse
  • cos ∠L = KL/JL
  • cos 21° = 4/x
  • x = 4 / cos 21°
  • x = 4.3 (rounded)
7 0
2 years ago
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On a single roll of a pair of dice, what are the odds against rolling a sum of 7? Please help ASAP!!! :(
Kobotan [32]
Honestly I don’t remember how to do this but u can try .083 but don’t count on it
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2 years ago
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