# How do you solve for R in 3214 = (1 + R)^4?

Aug 29, 2016

$R \cong 6.52942$ or $R \cong - 8.52942$ (Assuming $R \in \mathbb{R}$)

#### Explanation:

${\left(1 + R\right)}^{4} = 3214$

$\left(1 + R\right) = \sqrt[4]{3214}$

$1 + R \cong \pm 7.52942$ (Assuming $R \in \mathbb{R}$)

Hence: $R \cong 6.52942$ or $R \cong - 8.52942$

Sep 4, 2016

$R = \pm \sqrt[4]{3214} - 1$

#### Explanation:

We have: $3214 = {\left(1 + R\right)}^{4}$

Take the fourth root of both sides:

$\implies \left(1 + R\right) = \pm \sqrt[4]{3214}$

$\implies R = \pm \sqrt[4]{3214} - 1$