一元二次方程化为一般形式1. 3x(x+2)=2(x+2) 2. 4(x-5)²=9(x-3)²
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1、3 x(x + 2)= 2(x + 2)
3 x(x + 2)- 2(x + 2)= 0
(3 x - 2)(x + 2)= 0
3 x ² + 6 x - 2 x - 4 = 0
3 x ² + 4 x - 4 = 0
2、4(x - 5)² = 9(x - 3)²
4(x - 5)² - 9(x - 3)² = 0
【2(x - 5)+ 3(x - 3)】【2(x - 5)- 3(x - 3)】= 0
(2 x - 10 + 3 x - 9)(2 x - 10 - 3 x + 9)= 0
(5 x - 19)(- x - 1)= 0
- 5 x ² - 5 x + 19 x + 19 = 0
- 5 x ² + 14 x + 19 = 0
一元二次方程一般形式:a x ² + b x + c = 0
3 x(x + 2)- 2(x + 2)= 0
(3 x - 2)(x + 2)= 0
3 x ² + 6 x - 2 x - 4 = 0
3 x ² + 4 x - 4 = 0
2、4(x - 5)² = 9(x - 3)²
4(x - 5)² - 9(x - 3)² = 0
【2(x - 5)+ 3(x - 3)】【2(x - 5)- 3(x - 3)】= 0
(2 x - 10 + 3 x - 9)(2 x - 10 - 3 x + 9)= 0
(5 x - 19)(- x - 1)= 0
- 5 x ² - 5 x + 19 x + 19 = 0
- 5 x ² + 14 x + 19 = 0
一元二次方程一般形式:a x ² + b x + c = 0
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