Answer :
For this case we have the following equation:
[tex]x ^ 2 + 81 = x + 10[/tex]
We must find an equivalent equation.
Subtracting x from both sides of the equation we have:
[tex]x ^ 2-x + 81 = 10[/tex]
Subtracting 81 from both sides of the equation we have:
[tex]x ^ 2-x = 10-81[/tex]
Different signs are subtracted and the sign of the major is placed:
[tex]x ^ 2-x = -71[/tex]
Adding 71 to both sides of the equation we have:
[tex]x ^ 2-x + 71 = 0[/tex]
An equation equivalent to the given equation is:
[tex]x ^ 2-x + 71 = 0[/tex]
Answer:
[tex]x ^ 2-x + 71 = 0[/tex]