21y^4-26y^2+25=0

Simple and best practice solution for 21y^4-26y^2+25=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 21y^4-26y^2+25=0 equation:


Simplifying
21y4 + -26y2 + 25 = 0

Reorder the terms:
25 + -26y2 + 21y4 = 0

Solving
25 + -26y2 + 21y4 = 0

Solving for variable 'y'.

Begin completing the square.  Divide all terms by
21 the coefficient of the squared term: 

Divide each side by '21'.
1.19047619 + -1.238095238y2 + y4 = 0

Move the constant term to the right:

Add '-1.19047619' to each side of the equation.
1.19047619 + -1.238095238y2 + -1.19047619 + y4 = 0 + -1.19047619

Reorder the terms:
1.19047619 + -1.19047619 + -1.238095238y2 + y4 = 0 + -1.19047619

Combine like terms: 1.19047619 + -1.19047619 = 0.00000000
0.00000000 + -1.238095238y2 + y4 = 0 + -1.19047619
-1.238095238y2 + y4 = 0 + -1.19047619

Combine like terms: 0 + -1.19047619 = -1.19047619
-1.238095238y2 + y4 = -1.19047619

The y term is -1.238095238y2.  Take half its coefficient (-0.619047619).
Square it (0.3832199546) and add it to both sides.

Add '0.3832199546' to each side of the equation.
-1.238095238y2 + 0.3832199546 + y4 = -1.19047619 + 0.3832199546

Reorder the terms:
0.3832199546 + -1.238095238y2 + y4 = -1.19047619 + 0.3832199546

Combine like terms: -1.19047619 + 0.3832199546 = -0.8072562354
0.3832199546 + -1.238095238y2 + y4 = -0.8072562354

Factor a perfect square on the left side:
(y2 + -0.619047619)(y2 + -0.619047619) = -0.8072562354

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 162xy-50x^2= | | 15b=87 | | 704=550(1+.14t) | | 4x-8=4(x+1) | | 3x+4-7x=7-(4x+3) | | -3x^2+4x+8=0 | | x^2+3x-4= | | Ln(x+1)+Ln(x+2)=12 | | r-1=-8+2r | | Ln(x-1)+Ln(x+2)=5 | | 0.8+0.2x=1.2 | | -0.3d=12 | | -3x+x-43=11 | | 50x^3+50x^2+12x= | | ln(x-1)+ln(x+2)=12 | | 3(4j+5)=2(-10+5j) | | 5x-3x-9=19 | | 70x^3+60x^2+12x= | | 3a-2.5=5 | | x(4x^2+19x+12)=0 | | 2a-8=2(a+1)+16a+7 | | 2-(m-4)=3m+8 | | -57-2x+8x=45 | | r^2-4r+10=0 | | -57-2x+8=45 | | -57-2x+8=55 | | 2e=4e-6 | | t^2-6t+13=0 | | -57-2x+8=25 | | t^3-6t+13=0 | | 10x^2y^2+22xy^2-140y^2= | | 3x+5=x+3 |

Equations solver categories