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

1 Answer
Jan 13, 2017

Answer:

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.