Enter Equation or Inequality
  

Solve the following equation

2y^2=50

Solve for y:

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

Take the square root of each side:

√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

Final Answer

y = ±5


You have 2 free calculationss remaining



What is the Answer?
y = ±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
Example calculations for the Equation and Inequalities Calculator
  1. 2x=6
  2. 9w - 12<=20
  3. -y + 2 + 10y - 9 -6 >= -3 + 4y + 40 - 8y
  4. 2x - 9(x - 4) = 10
  5. |x|=-2
  6. |-4y|=-8
  7. x^2=25
  8. 2y^2=50
  9. 2y^2-3=53
  10. 2sqrt(4x)=20
  11. |2x+4|=30
  12. |x/2|<10
  13. |2x+6|-7=40
  14. (4x+10)^2=400

Equation and Inequalities Calculator Video


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