# 2y^2-3=53

## Enter Equation or Inequality

Solve the following equation
2y^2-3=53

2y2-3 = 53

## Add + 3 to both sides of the equation

2y2-3 + 3 = 53 + 3
2y2 = 56

## Divide each side of the equation by 2

 2y2 2
 =
 56 2

 y2  = 56 2

 y  = √56 √2

Using our radical expression calculator, we can simplify this
y2 = 28

y2= √28
y = ±√28

## Simplify √28

Checking square roots, we see that 52 = 25 and 62 = 36
Our answer is not an integer, so we try simplify it into the product of an integer and a radical.

28 = √128
28 = √214
28 = √47

## Find the highest integer square root

The highest factor that has an integer square root is 4
Therefore, we use the product combo √28 = √47
Evaluating square roots, we see that √4 = 2

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