4x^2+15x+9=0怎么做?顺便还有两题:6x^2+5x-6=0 4x^2-11x+23=5x+8

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/16 22:26:41

4x^2+15x+9=0怎么做?顺便还有两题:6x^2+5x-6=0 4x^2-11x+23=5x+8
4x^2+15x+9=0怎么做?顺便还有两题:6x^2+5x-6=0 4x^2-11x+23=5x+8

4x^2+15x+9=0怎么做?顺便还有两题:6x^2+5x-6=0 4x^2-11x+23=5x+8
1.4x^2+15x+9=0
用十字相乘法,则
﹙4x+3﹚﹙x+3﹚=0
∴解得X1=-3/4,X2=-3
2.6x^2+5x-6=0
∵b²-4ac=25-4×6×﹙-6﹚=169
∴﹙-b±√169﹚/2a
∴解得X1=2/3,X2=-3/2
3.4x^2-11x+23=5x+8
4x^2-11x+23-5x-8=0
同上一题用公式法
解得X1=3/2,X2=5/2

4x^2+15x+9=0
(4x+3)(x+3)=0
4x+3=0,或x+3=0
x=-3/4或x=-3
6x^2+5x-6=0
(x+3)(3x-2)=0
x+3=0,3x-2=0
x=-3或x=2/3
4x^2-11x+23=5x+8
4x^2-16x+15=0
(2x-3)(2x-5)=0
2x-3=0,2x-5=0
x=2/3或x=5/2