SOLUTION: Solve each quadratic in form equation 1.4y^4+9=13y^2 2.x-3x ^1/2+2=0 3.(x-5)^2+2x(x-5)-35=0 4.(x^2-5)^2-13(x^2-5)+20=0 5.(x-2)^2-3(x-2)+2=02

Algebra ->  Functions -> SOLUTION: Solve each quadratic in form equation 1.4y^4+9=13y^2 2.x-3x ^1/2+2=0 3.(x-5)^2+2x(x-5)-35=0 4.(x^2-5)^2-13(x^2-5)+20=0 5.(x-2)^2-3(x-2)+2=02       Log On


   

Question 618665: Solve each quadratic in form equation 1.4y^4+9=13y^2
2.x-3x ^1/2+2=0 3.(x-5)^2+2x(x-5)-35=0 4.(x^2-5)^2-13(x^2-5)+20=0
5.(x-2)^2-3(x-2)+2=02
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

 1.4y^4+9=13y^2 (Let x = y^2) ⇒ 4x^2 -13x + 9 ⇒ (4x-9)(x-1) ⇒ x = 9/4, x = 1

   y^2 = 9/4, y = ±  3/2  OR y^2 = 1, y = ±  1

2.x-3x ^1/2+2=0 (s = x^2)⇒ s^2-3s + 2 = 0 ⇒ (s-2)(s-1) = 0 ⇒ s = 2, s = 1

    x = ±  sqrt(s), x = ± sqrt(2), x = ± 1  

etc