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阅读下面的材料:ax2+bx+c=0(a≠0)的根为,.∴,.综上所述得,设ax2+bx+...
试题详情
阅读下面的材料:
ax
2+bx+c=0(a≠0)的根为,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOcAAAAsCAYAAACe269XAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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)
.
∴
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHgAAAAjCAYAAABfLc7mAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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)
,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJMAAAAxCAYAAADeMZvwAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAASXSURBVHhe7VvZkYYgDLYye7Idm7EUS2E5FRAW
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GA8LpnPf2H4qOx0bB9S6M/0nmvEEo1pyUJUmYjYsmBx7nTtbSU8nLa2WHCIwlLL9DTDxILfVAFM1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)
.
综上所述得,设ax
2+bx+c=0(a≠0)的两根为x
1、x
2,则有:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJkAAAAjCAYAAACHDaipAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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)
.
请利用这一结论解决下列问题:
(1)若x
2+bx+c=0的两根为1和3,求b和c的值.
(2)设方程2x
2+3x+1=0的根为x
1、x
2,求x
12+x
12的值.
相关试题
-
阅读下面的材料:
ax2+bx+c=0(a≠0)的根为,
.
∴
,
.
综上所述得,设ax2+bx+c=0(a≠0)的两根为x1、x2,则有:
.
请利用这一结论解决下列问题:
(1)若x2+bx+c=0的两根为1和3,求b和c的值.
(2)设方程2x2+3x+1=0的根为x1、x2,求x12+x12的值.
-
阅读下面的材料:
ax2+bx+c=0(a≠0)的根为,
.
∴
,
.
综上所述得,设ax2+bx+c=0(a≠0)的两根为x1、x2,则有:
.
请利用这一结论解决下列问题:
(1)若x2+bx+c=0的两根为1和3,求b和c的值.
(2)设方程2x2+3x+1=0的根为x1、x2,求x12+x12的值.
-
阅读下面的材料:
ax2+bx+c=0(a≠0)的根为,
.
∴
,
.
综上所述得,设ax2+bx+c=0(a≠0)的两根为x1、x2,则有:
.
请利用这一结论解决下列问题:
(1)若x2+bx+c=0的两根为1和3,求b和c的值.
(2)设方程2x2+3x+1=0的根为x1、x2,求x12+x12的值.
-
阅读下面的材料:
ax2+bx+c=0(a≠0)的根为,
.
∴
,
.
综上所述得,设ax2+bx+c=0(a≠0)的两根为x1、x2,则有:
.
请利用这一结论解决下列问题:
(1)若x2+bx+c=0的两根为1和3,求b和c的值.
(2)设方程2x2+3x+1=0的根为x1、x2,求x12+x12的值.
-
阅读下面的材料:
ax2+bx+c=0(a≠0)的根为,
.
∴
,
.
综上所述得,设ax2+bx+c=0(a≠0)的两根为x1、x2,则有:
.
请利用这一结论解决下列问题:
(1)若x2+bx+c=0的两根为1和3,求b和c的值.
(2)设方程2x2+3x+1=0的根为x1、x2,求x12+x12的值.
-
阅读下面的材料:
ax2+bx+c=0(a≠0)的根为,
.
∴
,
.
综上所述得,设ax2+bx+c=0(a≠0)的两根为x1、x2,则有:
.
请利用这一结论解决下列问题:
(1)若x2+bx+c=0的两根为1和3,求b和c的值.
(2)设方程2x2+3x+1=0的根为x1、x2,求x12+x12的值.
-
阅读下面的材料:
ax2+bx+c=0(a≠0)的根为
.
.
∴
,
.
综上得,设ax2+bx+c=0(a≠0)的两根为x1、x2,则有
,
.
请利用这一结论解决问题:
若x2-2x+a=0的有一根为1+
,求另一根和a的值.
-
阅读下面的材料:
∵ax2+bx+c=0(a≠0)的根为
,
,
∴
,
.
综上得,设ax2+bx+c=0(a≠0)的两根为x1、x2,则有x1+x2=
,x1x2=
.
请利用这一结论解决下列问题:
(1)若x2-px+q=0的两根为-1和3,求p和q的值;
(2)设方程3x2+2x-1=0的根为x1、x2,求
的值.
-
阅读下面的材料:
∵ax2+bx+c=0(a≠0)的根为
,
,
∴
,
.
综上得,设ax2+bx+c=0(a≠0)的两根为x1、x2,则有x1+x2=
,x1x2=
.
请利用这一结论解决下列问题:
(1)若x2-px+q=0的两根为-1和3,求p和q的值;
(2)设方程3x2+2x-1=0的根为x1、x2,求
的值.
-
阅读下面的材料:
∵ax2+bx+c=0(a≠0)的根为
,
,
∴
,
.
综上得,设ax2+bx+c=0(a≠0)的两根为x1、x2,则有x1+x2=
,x1x2=
.
请利用这一结论解决下列问题:
(1)若x2-px+q=0的两根为-1和3,求p和q的值;
(2)设方程3x2+2x-1=0的根为x1、x2,求
的值.