If you use a guess and check method, you see that 4^{2} = 16 and 6^{2} = 36

Since 16 < 25 < 36 the next logical step would be checking 5^{2}

5^{2} = 5 x 5

5^{2} = 25 <--- We match our original number!!!

Therefore, √25 = 5

Another method is to list out the products of integers starting at 1 as follows:

1^{2} = 1 x 1 = 1 <--- Not our answer since 1 < 25

2^{2} = 2 x 2 = 4 <--- Not our answer since 4 < 25

3^{2} = 3 x 3 = 9 <--- Not our answer since 9 < 25

4^{2} = 4 x 4 = 16 <--- Not our answer since 16 < 25

5^{2} = 5 x 5 = 25 <--- This is our answer!!!

6^{2} = 6 x 6 = 36 <--- Not our answer since 36 > 25

Final Answer

x = ±5

What is the Answer?

x = ±5

How does the Equation and Inequalities Calculator work?

Free Equation and Inequalities Calculator - Solves an equation or inequality with 1 unknown variable and no exponents as well as certain absolute value equations and inequalities such as |x|=c and |ax| = c where a and c are constants. Solves square root, cube root, and other root equations in the form ax^2=c, ax^2 + b = c. Also solves radical equations in the form asqrt(bx) = c. Also solves open sentences and it will solve one step problems and two step equations. 2 step equations and one step equations and multi step equations This calculator has 1 input.

What 3 formulas are used for the Equation and Inequalities Calculator?

One Step Equations (Division):
cx = b
x = b/c
One Step Equations (Addition):
x + c = b
x = b - c
One Step Equations (Subtraction):
x - c = b
x = b + c