y^4-23y^2-70=0

Simple and best practice solution for y^4-23y^2-70=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for y^4-23y^2-70=0 equation: 


Simplifying
y4 + -23y2 + -70 = 0

Reorder the terms:
-70 + -23y2 + y4 = 0

Solving
-70 + -23y2 + y4 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '70' to each side of the equation.
-70 + -23y2 + 70 + y4 = 0 + 70

Reorder the terms:
-70 + 70 + -23y2 + y4 = 0 + 70

Combine like terms: -70 + 70 = 0
0 + -23y2 + y4 = 0 + 70
-23y2 + y4 = 0 + 70

Combine like terms: 0 + 70 = 70
-23y2 + y4 = 70

The y term is -23y2.  Take half its coefficient (-11.5).
Square it (132.25) and add it to both sides.

Add '132.25' to each side of the equation.
-23y2 + 132.25 + y4 = 70 + 132.25

Reorder the terms:
132.25 + -23y2 + y4 = 70 + 132.25

Combine like terms: 70 + 132.25 = 202.25
132.25 + -23y2 + y4 = 202.25

Factor a perfect square on the left side:
(y2 + -11.5)(y2 + -11.5) = 202.25

Calculate the square root of the right side: 14.221462653

Break this problem into two subproblems by setting 
(y2 + -11.5) equal to 14.221462653 and -14.221462653.


Subproblem 1
y2 + -11.5 = 14.221462653

Simplifying
y2 + -11.5 = 14.221462653

Reorder the terms:
-11.5 + y2 = 14.221462653

Solving
-11.5 + y2 = 14.221462653

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '11.5' to each side of the equation.
-11.5 + 11.5 + y2 = 14.221462653 + 11.5

Combine like terms: -11.5 + 11.5 = 0.0
0.0 + y2 = 14.221462653 + 11.5
y2 = 14.221462653 + 11.5

Combine like terms: 14.221462653 + 11.5 = 25.721462653
y2 = 25.721462653

Simplifying
y2 = 25.721462653

Take the square root of each side:
y = {-5.071633135, 5.071633135}


Subproblem 2
y2 + -11.5 = -14.221462653

Simplifying
y2 + -11.5 = -14.221462653

Reorder the terms:
-11.5 + y2 = -14.221462653

Solving
-11.5 + y2 = -14.221462653

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '11.5' to each side of the equation.
-11.5 + 11.5 + y2 = -14.221462653 + 11.5

Combine like terms: -11.5 + 11.5 = 0.0
0.0 + y2 = -14.221462653 + 11.5
y2 = -14.221462653 + 11.5

Combine like terms: -14.221462653 + 11.5 = -2.721462653
y2 = -2.721462653

Simplifying
y2 = -2.721462653

Reorder the terms:
2.721462653 + y2 = -2.721462653 + 2.721462653

Combine like terms: -2.721462653 + 2.721462653 = 0.000000000
2.721462653 + y2 = 0.000000000

The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 2x-15x=3 | | ln(4x^2)=10 | | 800=x*.05*9 | | 2x+-1=x+4 | | 8x+15y=75 | | 1000=1150*x*3 | | 7z=6 | | 2x+8=4x+6 | | 4t-t+9=27 | | 4252=1800(r)4.5 | | 87.75=x*.045*3 | | 4t-t+9=97 | | 2m+15=7 | | 546=x*.05*2 | | 546=x*.05*2 | | n=0.25*60 | | 2.3t=4.6 | | 5425=15500(8.75)t | | -z^2+2z-1=0 | | 63.05=x*.0325*2 | | -15+7h=48 | | 828.75=p(6.5)1.5 | | 3x^4-12x^3+3x^2+36x-36=0 | | (3x-4)(3x-4)=25 | | X^5-Y^8=3 | | 4x+5-7x=1 | | 12.99=50.50 | | 6(3.2x-2.3)=7.2x-13.32 | | 14=6+2l | | y=3x^2+2x-2 | | I=12000(4.25)5 | | 12x+y=-4 |

Equations solver categories