Respuesta :

grujan50

Answer:

Correct answer:  x₁ = 8

Step-by-step explanation:

Given equation is:

x² - 8 = 7x  ⇒ x² - 7x - 8 = 0 ⇒ x² - 8x + x - 8 = 0 ⇒ x ·(x - 8) + (x - 8) = 0

(x - 8) · (x + 1) = 0 ⇒ x₁ = 8 or x₂ = -1  

we accept a positive solution

x₁ = 8

God is with you!!!

The positive solution will be 8

Positive solution

To get a positive solution, the number being added to x should be less than the sum.

What are the steps to solve this problem?

The steps are as follow:

  • Let, the number be [tex]x[/tex]
  • The difference of the square of a number and 8 is equal to 7 times that number,it can be written in equation form as follow:

[tex]x^{2} -8=7x[/tex]

  • Solving this equation,

[tex]x^{2} -7x-8=0\\(x-8)(x+1)=0\\x=8or-1[/tex]

Since the positive solution is required therefore the the number will be [tex]x=8[/tex]

Learn more about positive solution  here:

https://brainly.com/question/1214333

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