Question

How do you solve `a^2+1=2`?

Answer 1

`color(green)(a=1)` or `color(green)(a=-1)`

Explanation:

`a^2+1 =2`

`rarr a^2=1` (after subtracting `1` from both sides)

`rarr a=+-sqrt(1) = +-1`

Answer 2

a = ± 1

Explanation:

Isolate the `a^2` term on the left side of the equation and numeric terms to the right.

`rArra^2=2-1rArra^2=1`

Take the square root of both sides.

`rArrsqrt(a^2)=±sqrt1rArra=±1`