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andrey2020 [161]
2 years ago
8

Hello please help with my question, I will give brainlyest!

Mathematics
1 answer:
lilavasa [31]2 years ago
3 0

No, John is incorrect.

<h3>Correct work shown:</h3>

\sf x^2 - 6x - 7 = 0

\sf x^2 - 6x = 7

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

\sf (x-3)^2= 16

\sf x-3=\pm \sqrt{16}

\sf x-3= \pm 4

\sf x= + 4 + 3 \quad or \quad x = -4 + 3

\sf x= 7 \quad or \quad x = -1

The correct answer should be x = 7 or x = -1

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General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra II</u>

  • Exponential to Logarithmic:                                                                             \displaystyle b^m=x \rightarrow log_bx=m

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

0.77 = log(x)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Equality Property] Raise both sides to the 10th power:                                \displaysytle 10^{0.77} = 10^{logx}
  2. Simplify:                                                                                                             \displaysytle x = 10^{0.77}
  3. Evaluate:                                                                                                           \displaysytle x = 5.88844
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