(16x-13)/(4x-3)-(20x-24)/(4x-5)=(32x-30)/(8x-7)-(40x-43)/(8x-9) Find x

(16x-13)/(4x-3)-(20x-24)/(4x-5)=(32x-30)/(8x-7)-(40x-43)/(8x-9) Find x

x=1

2X + y parts 4x & # 178; - 4xy + Y & # 178; divided by (4x & # 178; - Y & # 178;) simplification

2X + Y: 4x & # 178; - 4xy + Y & # 178; divided by (4x & # 178; - Y & # 178;)
=【（2x-y)^2/(2x+y)】/【（2x+y)(2x-y)】
=（2x-y)/（2x+y)^2

(16x & # 179; - 8x & # 178; + 4x) divided by (- 2x)

You can extract x, so that three times can be changed into two times, so that you can do it by using the root formula,

The direct flattening method is used to solve the equation ① 4 (X-2) &# 178; - 25 = 0, ② half (2Y + 2) = 3
Using the collocation method to solve the equation ① 2x & # 178; - 3x + 2 = 0 ② X & # 178; - 6x-6 = 0

①4（x-2）²-25=0
4(x-2)²=25
(x-2)²=25/4
x-2=5/2 x-2=-5/2
∴x=9/2 x=-1/2
② Half (2Y + 2) & #178; = 3
2(y+1)²=3
(y+1)²=3/2
∴y+1=√6/2 y+1=-√6/2
∴y=-1+√6/2 y=-1-√6/2
Solving equations by collocation method
①2x²-3x+2=0
2x²-3x=-2
x²-3x/2=-1
x²-3x/2+9/16=-7/16
(x-3/4)²=-7/16
The equation has no solution
②x²-6x-6=0
x²-6x+9=15
(x-3)²=15
∴x-3=√15 x-3=-√15
∴ x=3+√15 x=3-√15