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The square of a number, x, is 16 less than eight times the number. What is the number? Type the correct answer in the box. Use numerals instead of words.​

Respuesta :

Given :

The square of a number, x, is 16 less than eight times the number.

To Find :

The value of x .

Solution :

The mathematical equation with all given data is :

[tex]x^2=8x-16\\\\x^2-8x+16=0\\\\x^2-4x-4x+16=0\\\\x(x-4)-4(x-4)=0\\\\(x-4)^2=0\\\\x=4[/tex]

Therefore , the value of x is 4 .

Hence , this is the required solution .

The number is 4.

Given that,

  • The equation is [tex]x^2 = 8x - 16[/tex]

Based on the above information, the calculation is as follows:

[tex]x^2 = 8x - 16\\\\x^2 - 8x + 16 = 0\\\\x^2 -4x - 4x + 16 = 0\\\\x (x - 4) - 4(x - 4) = 0\\\\(x - 4)^2 = 0\\\\x = 4[/tex]

Learn more: https://brainly.com/question/1605083?referrer=searchResults

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