##### Enter Equation or Inequality

Solve the following equation

x^2=25

##### Solve for x:

x2 = 25

 x  = √25 √1

Using our radical expression calculator, we can simplify this

x2 = 25

x2= √25

x= = ±√25

##### Simplify √25

If you use a guess and check method, you see that 42 = 16 and 62 = 36

Since 16 < 25 < 36 the next logical step would be checking 52

52 = 5 x 5

52 = 25 <--- We match our original number!!!

Therefore, √25 = 5

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

12 = 1 x 1 = 1 <--- Not our answer since 1 < 25

22 = 2 x 2 = 4 <--- Not our answer since 4 < 25

32 = 3 x 3 = 9 <--- Not our answer since 9 < 25

42 = 4 x 4 = 16 <--- Not our answer since 16 < 25

52 = 5 x 5 = 25 <--- This is our answer!!!

62 = 6 x 6 = 36 <--- Not our answer since 36 > 25

x = ±5

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

For more math formulas, check out our Formula Dossier

### What 4 concepts are covered in the Equation and Inequalities Calculator?

equation
a statement declaring two mathematical expressions are equal
equation and inequalities
unknown
a number or value we do not know
variable
Alphabetic character representing a number