SOLUTION: solve 25x^4-20x^2+3=0

Question 255297: solve
25x^4-20x^2+3=0
Found 3 solutions by richwmiller, checkley77, CharlesG2:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!

Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!

(5x^2-1)(5x^2-3)=0 ans.

Answer by CharlesG2(834)   (Show Source): You can put this solution on YOUR website!
solve
25x^4-20x^2+3=0
substitute y for x^2
25y^2-20y+3=0
now we got a equation of form a*y^2 + b*y + c = 0
a=25, b=-20, c=3
using quadratic formula

y1=3/5, y2=1/5
now going back to x
y=x^2
x=+- sqrt(y)
x1=+- sqrt(3/5)
x2=+- sqrt(1/5)

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