t^4-4r^2=0

Solution for t^4-4r^2=0 equation:

Simplifying
t4 + -4r2 = 0

Reorder the terms:
-4r2 + t4 = 0

Solving
-4r2 + t4 = 0

Solving for variable 'r'.

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

Add '-1t4' to each side of the equation.
-4r2 + t4 + -1t4 = 0 + -1t4

Combine like terms: t4 + -1t4 = 0
-4r2 + 0 = 0 + -1t4
-4r2 = 0 + -1t4
Remove the zero:
-4r2 = -1t4

Divide each side by '-4'.
r2 = 0.25t4

Simplifying
r2 = 0.25t4

Take the square root of each side:
r = {-0.5t2, 0.5t2}