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
Common Core State Standards In This Lesson
6.EE.B.5, 6.EE.B.7, 8.EE.A.2, 8.EE.C.7.B, HSA.CED.A.1, HSA.REI.A.1, HSA.REI.A.2, HSA.REI.B.3, HSA.REI.B.4.B
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.
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
One Step Equations (Addition): x + c = b x = b - c
One Step Equations (Subtraction): x - c = b x = b + c
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
