# 2y^2=50

## Enter Equation or Inequality

Solve the following equation
2y^2=50

2y2 = 50

## Divide each side of the equation by 2

 2y2 2
 =
 50 2

 y2  = 50 2

 y  = √50 √2

Using our radical expression calculator, we can simplify this
y2 = 25

y2= √25
y = ±√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

Solve for y

## Group variables

Group our variables and
subtract from both sides
--

00

## Divide each side of the equation by 0

 0 0
 0 0

NAN

NAN

### 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

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### 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