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

##### 2 Answers
Jul 27, 2016

$\textcolor{g r e e n}{a = 1}$ or $\textcolor{g r e e n}{a = - 1}$

#### Explanation:

${a}^{2} + 1 = 2$

$\rightarrow {a}^{2} = 1$ (after subtracting $1$ from both sides)

$\rightarrow a = \pm \sqrt{1} = \pm 1$

Jul 27, 2016

a = ± 1

#### Explanation:

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

$\Rightarrow {a}^{2} = 2 - 1 \Rightarrow {a}^{2} = 1$

Take the square root of both sides.

rArrsqrt(a^2)=±sqrt1rArra=±1