(x + 1) ² = 4 to find the value of X

(x + 1) ² = 4 to find the value of X

(x+1)²=4
x+1=±2
x=±2-1
x1=1 x2=-3

Given x + 1 / x = 4, ① find the value of X & # 178; + 1 / X & # 178; ② find the value of (x-1 / x) &# 178

Solving equations X / y = 5 / 4 X-1 / y + 2 = 2 / 3

From X / y = 5 / 4 to x = 5Y / 4 --- (1)
X-1 / y + 2 leads to x = 2Y + 7 / 3 --- (2)
(1) If = (2), y = 4,
Substituting (1) or (2)
We get x = 5
It is meaningful to satisfy the original equations when x = 5 and y = 4
So x = 5, y = 4

To solve the equations: 3 (x − 1) = y + 55 (Y − 1) = 3 (x + 5)

The original equations can be reduced to 3x − y = 8, 3x − 5Y = − 20, ④, ③ - ④, 4Y = 28, i.e. y = 7. Substituting y = 7 into 3 (x-1) = y + 5, 3x-7 = 8, i.e. x = 5. The solution of the equations is x = 5Y = 7