若4分之3x+2与4分之1x-3是一个正数的平方根,求这个数的值
若4分之3x+2与4分之1x-3是一个正数的平方根,求这个数的值
数学人气:111 ℃时间:2020-02-04 00:56:46
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由题意:(3/4)x+2=(1/4)x-3(两根同为正或负),或 (3/4)x+2=-(1/4)x+3(两根异号);前一式解得 x=-10,(3/4)x+2=(3/4)*(-10)+2=-11/2,(-11/2)²=121/4……所求正数为 121/4;由后一式解得 x=1;(3/4)x+2=(3/4)*1...
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