What is the solution set of #(h-6)^2=400#?

2 Answers
Apr 10, 2018

Answer:

26.

Explanation:

You are solving for h here, so you would first square root both sides of the equation to get

h-6=20.

Then you add 6 to both sides to get

h=26.

Apr 10, 2018

Answer:

The two solutions are #h=26# and #h=-14#.

Explanation:

You can square root both sides to cancel the power:

#(h-6)^2=400#

#color(red)sqrt(color(black)((h-6)^2))=color(red)sqrtcolor(black)400#

#h-6=color(red)sqrtcolor(black)400#

#h-6=+-20#

Solve each equation separately for two solutions:

#h-6=20#

#h=26#

And:

#h-6=-20#

#h=-14#

Those are the two solutions. Hope this helped!