# Is w=1.47 a solution to the equation 1.23(0.53+w)^2=16?

Jan 13, 2017

Substitute $1.47$ for $w$ and simplify the left side of the equation. If it is equal to 16 then $w = 1.47$ is a solution to the equation. See full process below:

#### Explanation:

Substitute $\textcolor{red}{1.47}$ for $\textcolor{red}{w}$ and simplify the left side of the equation.

$1.23 {\left(0.53 + \textcolor{red}{w}\right)}^{2} = 16$ substituting and simplifying gives:

$1.23 {\left(0.53 + \textcolor{red}{1.47}\right)}^{2} = 16$

$1.23 \times {\left(2\right)}^{2} = 16$

$1.23 \times 4 = 16$

$4.92 \ne 16$

Because 4.92 does not equal 16, $w = 1.47$ is not a solution for this equation.