一元二次方程x2+7x+9=1的根与二次函数y=x2+7x+9的图象有什么关系?试把方程的根在图象上表示出来.
解:一元二次方程x2+7x+9=1的根是二次函数y=x2+7x+9图象中y=1时,所对应的x的值;
当y=1时,x2+7x+9=1,
∴作出二次函数y=x2+7x+9的图象如图,由图中可以看出,当y=1时,x≈﹣5.6或﹣1.4,
∴一元二次方程x2+7x+9=1的根为x1≈﹣5.6,x2≈﹣1.4.
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