y^4+23y^2-50=0

Solution for y^4+23y^2-50=0 equation:

Simplifying
y4 + 23y2 + -50 = 0

Reorder the terms:
-50 + 23y2 + y4 = 0

Solving
-50 + 23y2 + y4 = 0

Solving for variable 'y'.

Factor a trinomial.
(-25 + -1y2)(2 + -1y2) = 0

Subproblem 1
Set the factor '(-25 + -1y2)' equal to zero and attempt to solve:

Simplifying
-25 + -1y2 = 0

Solving
-25 + -1y2 = 0

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

Add '25' to each side of the equation.
-25 + 25 + -1y2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -1y2 = 0 + 25
-1y2 = 0 + 25

Combine like terms: 0 + 25 = 25
-1y2 = 25

Divide each side by '-1'.
y2 = -25

Simplifying
y2 = -25

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(2 + -1y2)' equal to zero and attempt to solve:

Simplifying
2 + -1y2 = 0

Solving
2 + -1y2 = 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 + -1y2 = 0 + -2

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

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

Divide each side by '-1'.
y2 = 2

Simplifying
y2 = 2

Take the square root of each side:
y = {-1.414213562, 1.414213562}
Solution
y = {-1.414213562, 1.414213562}