Observe and analyze the following equations: x + 2 / x = 3, x + 6 / x = 5, x + 12 / x = 7; please use the law contained in them, x + 30 / X=

Observe and analyze the following equations: x + 2 / x = 3, x + 6 / x = 5, x + 12 / x = 7; please use the law contained in them, x + 30 / X=


x+30/=2+15=17



Observe the following equation (1) x + 2 / x = 3; (2) x + 6 / x = 5; (3) x + 12 / x = 7 According to this law, the nth equation of X is ()
According to the above conclusion, the
The solution of X + n (n + 1) / (x-1) = 2n + 2 (n ≥ 2)


1 + 2 = 3, 1 × 2 = 2, then: x + 2 / x = 3 [solution is X1 = 1, X2 = 2] 2 + 3 = 5, 2 × 3 = 6, then: x + 6 / x = 5 [solution is X1 = 2, X2 = 3] 3 + 4 = 7, 3 × 4 = 12, then: x + 12 / x = 7 [solution is X1 = 3, X2 = 4] X + n (n + 1) / x = 2n + 1



1-7 / 3 × x = 4 / 1, 9 / 5 × X-12 / 1 = 12 / 7


3 of 1-7 × x = 1 of 4; 1 of 1-4 = 3 * x of 7; 3 of 4 = 3 * x of 7; X = 3 of 4 divided by 3 of 7; X = 3 of 4 divided by 7 = 7 of 4; 5 of 9 × X-12 = 7 of 12; 5 of 9 * x = 7 of 12 + 1 of 12; 5 of 9 * x = 8 of 12; X = 8 of 12 divided by 5 of 9; X = 2 of 3 * 5 9 = 6 of 5



In x = 3, x = - 4, what is the solution of equation - 4 (x + 1) = 12


-4(x+1)=12
-4x-4=12
x=-4
So, x = - 4 is the solution of the equation