2y^4-9y^2+4=

Simple and best practice solution for 2y^4-9y^2+4= 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 2y^4-9y^2+4= equation: 


Simplifying
2y4 + -9y2 + 4 = 0

Reorder the terms:
4 + -9y2 + 2y4 = 0

Solving
4 + -9y2 + 2y4 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -2y2)(4 + -1y2) = 0

Factor a difference between two squares.
(1 + -2y2)((2 + y)(2 + -1y)) = 0


Subproblem 1
Set the factor '(1 + -2y2)' equal to zero and attempt to solve:

Simplifying
1 + -2y2 = 0

Solving
1 + -2y2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2y2 = 0 + -1
-2y2 = 0 + -1

Combine like terms: 0 + -1 = -1
-2y2 = -1

Divide each side by '-2'.
y2 = 0.5

Simplifying
y2 = 0.5

Take the square root of each side:
y = {-0.707106781, 0.707106781}

Subproblem 2
Set the factor '(2 + y)' equal to zero and attempt to solve:

Simplifying
2 + y = 0

Solving
2 + y = 0

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

Add '-2' to each side of the equation.
2 + -2 + y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + y = 0 + -2
y = 0 + -2

Combine like terms: 0 + -2 = -2
y = -2

Simplifying
y = -2

Subproblem 3
Set the factor '(2 + -1y)' equal to zero and attempt to solve:

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {-0.707106781, 0.707106781, -2, 2}

See similar equations:

| 2x(5+5)=10 | | 4g=(-52) | | -9x=(-63) | | 4x^4-38x^3+48x^3= | | b+18+3b=24 | | p-11=(-5) | | 5sin+1=3sinx | | 2x-30=20 | | 2x(5+7)=10 | | 16x-(9x-7)=14 | | 18x^3+24x^2+8x= | | -2(c-4)=-8 | | 2x(5-7)=10 | | C(x)=X^2-60x-905 | | 3(2x+-3)+2(x+1)=9x+3 | | C(x)=X^2-60x | | 5x+6y=4x+6y | | lox(128)=7 | | 16=14+x | | 5x+48-7x=12(x+4) | | 6x+-4=2(x-6) | | 4ax^2-4ax+a^4-b^4=0 | | -8x-5-5-x=-15-17-6x | | 0.3*0.3= | | 0.01*0.01= | | 7b-7= | | 0.1*0.1= | | 70x=90y | | 0.01*0.01*0.01*0.01= | | 0.02*0.02= | | (4x+3y^2-x)dx+(x+2y)dy=0 | | 0.02*2= |

Equations solver categories