How do you solve sqrta+11=21 and check your solution?

2 Answers
Apr 18, 2017

a=100

Explanation:

Subtract 11 from both sides

sqrtacancel(+11-11)=21-11

sqrta=10

Square both sides

(sqrta)^2=10^2

a=100

To check the solution substitute this value (100) instead of a in the equation and see if it will give you 21

sqrtcolor(red)a+11=21

sqrtcolor(red)100+11=21

10+11=21

21=21

So the solution is correct

Apr 18, 2017

The answer is a=100

Explanation:

To get "a" by itself you want to subtract 11 from both sides:

sqrta +11 -11 = 21 -11

So now the equation is:

sqrta=10

Since you want to get "a" by itself, you want to now square both sides of the equation to get rid of the square root:

sqrta ^2 = 10^2

This is equal to:

a=100

If you have any questions, feel free to comment!