Algebra.
posted by Unknown on .
Help PleaseDx ?
Quadratic Equations ;
1. 4y^4+9=13y^2
2. x3x 1/2+2=0
3. (x5)^2+2(x5)35=0
4. (x2)^23(x2)+2=0
5. 2(x^25)  13(x^25)+20=0
6. 2x 2/3 + 5 1/3=12
7.6x 2/3 5x 1/36=0
8.x^2 + 4x^1=12
9.x^48x^2+7=0
10.x^42x^235=0

#1: work with y^2
4(y^2)^2  13y^2 + 9 = 0
(y^2  1)(4y^2  9) = 0
so, y^2 = 1 or 9/4
y = ±1 or ±3/2
#5: group things up
(213)(x^2  5) = 20
11(x^25) = 20
x^25 = 20/11
x^2 = 75/11
x = ±√(75/11) = ±5√(3/11) or ±5/11 √33
#6,7: work with x^1/3 as we did with y^2 in #1.
do the others in like manner. If you get stuck, come on back for further help.