Question

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

Answer 1

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 `color(red)(1.47)` for `color(red)(w)` and simplify the left side of the equation.

`1.23(0.53 + color(red)(w))^2 = 16` substituting and simplifying gives:

`1.23(0.53 + color(red)(1.47))^2 = 16`

`1.23 xx (2)^2 = 16`

`1.23 xx 4 = 16`

`4.92 != 16`

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