Question

Help PleaseDx ?
Quadratic Equations ;

1. 4y^4+9=13y^2

2. x-3x 1/2+2=0

3. (x-5)^2+2(x-5)-35=0

4. (x-2)^2-3(x-2)+2=0

5. 2(x^2-5) - 13(x^2-5)+20=0

6. 2x 2/3 + 5 1/3=12

7.6x 2/3 -5x 1/3-6=0

8.x^-2 + 4x^-1=12

9.x^4-8x^2+7=0

10.x^4-2x^2-35=0

Answer 1

#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
(2-13)(x^2 - 5) = -20
-11(x^2-5) = -20
x^2-5 = 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.