published on May 16, 2024 in News

x^2=25

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

Take the square root of each side:

√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

Final Answer

x = ±5

You have 1 free calculations remaining

What is the Answer?

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
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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?

equationa statement declaring two mathematical expressions are equalequation and inequalitiesunknowna number or value we do not knowvariableAlphabetic character representing a number

x^2=25

Enter Equation or Inequality

Solve for x:

Take the square root of each side:

Simplify √25

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

Final Answer

You have 1 free calculations remaining

What is the Answer?

How does the Equation and Inequalities Calculator work?

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

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

Example calculations for the Equation and Inequalities Calculator

Equation and Inequalities Calculator Video

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