# Solve using the Square Root Property 24^2+b^2=25^2

242+b2=252
Raise 24 to the power of 2.
576+b2=252
Raise 25 to the power of 2.
576+b2=625
Move all terms not containing b to the right side of the equation.
Subtract 576 from both sides of the equation.
b2=625-576
Subtract 576 from 625.
b2=49
b2=49
Take the square root of both sides of the equation to eliminate the exponent on the left side.
b=±49
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Rewrite 49 as 72.
b=±72
Pull terms out from under the radical, assuming positive real numbers.
b=±7
b=±7
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the ± to find the first solution.
b=7
Next, use the negative value of the ± to find the second solution.
b=-7
The complete solution is the result of both the positive and negative portions of the solution.
b=7,-7
b=7,-7
b=7,-7
Solve using the Square Root Property 24^2+b^2=25^2