Question

Which equation is equivalent to
x2 +81 = x+10?

Answer 1

For this case we have the following equation:

`x ^ 2 + 81 = x + 10`

We must find an equivalent equation.

Subtracting x from both sides of the equation we have:

`x ^ 2-x + 81 = 10`

Subtracting 81 from both sides of the equation we have:

`x ^ 2-x = 10-81`

Different signs are subtracted and the sign of the major is placed:

`x ^ 2-x = -71`

Adding 71 to both sides of the equation we have:

`x ^ 2-x + 71 = 0`

An equation equivalent to the given equation is:

`x ^ 2-x + 71 = 0`

Answer:

`x ^ 2-x + 71 = 0`