Current location - Training Enrollment Network - Mathematics courses - Solving equations in eighth grade mathematics
Solving equations in eighth grade mathematics
Solution: the square of 1)(ab-2b)x +2(b-a)x+2a-ab=0 has two equal real roots, then

( 1) ab-2b≠0

(2)△=4(b-a)^2-4(ab-2b)(2a-ab)=0

B 2+2ab+b 2+a 2b 2-2a 2b-2ab 2 = 0。

At the same time, a^2b^2 is imposed on both sides, which is simplification.

( 1/a+ 1/b)^2-2( 1/a+ 1/b)+ 1=0

( 1/a+ 1/b- 1)^2=0

( 1/a+ 1/b- 1)=0

1/a+ 1/b= 1

2) In 1 equation, △=2a+b-2* radical sign cd.

Delta = 2b+c-2 * radical sign ad in two equations.

Among the three equations, △=2c+d-2* radical sign ab

In the four equations, △=2d+b-2* radical bc.

Add up the delta of 1 3 and disassemble it, that is.

(AB+B under a-2* radical sign)+(CD+D under c-2 * radical sign)+A+C =

(radical a- radical B) 2+ (radical c+ radical d) 2+a+C.

So: (radical a- radical B) 2+ (radical c+ radical D) 2+A+C > 0.

At least two equations have unequal real roots.