The difference of the square of a number and 16 is equal to 6 times that number

asked Oct 27, 2021 96.0k views

1 vote

7.3k points

Please log in or register to add a comment.

4 votes

Answer:

x=-2 or x=8

Explanation:

Let the number be 'x'

Given:

x^2-16=6x

Solving the quadratic equation:

x^2-6x-16=0

$x^2+2x-8x-16=0\\$

$x^2+2x-8x-16=0\\x(x+2)-8(x+2)=0\\$

$x(x+2)-8(x+2)=0\\\\(x+2)(x-8)=0\\$

(x+2)=0, (x-8)=0

x=-2,x=8

The value of 'x' can be
x=-2 or x=8

Axazeano answered Nov 1, 2021

7.9k points

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.1m answers