已知实数a,b分别满足a²-6a+4=0,b²-6b+4=0,则b/a +a/b的值是多少?(求过)
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已知实数a,b分别满足a²-6a+4=0,b²-6b+4=0,则b/a +a/b的值是多少?(求过)
已知实数a,b分别满足a²-6a+4=0,b²-6b+4=0,则b/a +a/b的值是多少?(求过)
已知实数a,b分别满足a²-6a+4=0,b²-6b+4=0,则b/a +a/b的值是多少?(求过)
已知实数a,b分别满足a²-6a+4=0,b²-6b+4=0,
说明a,b是一元二次方程
x^2-6x+4=0
的两个根
因此
根据根与系数的关系得
a+b=6,ab=4
b/a=a/b
=(a^2+b^2)/(ab)
=[(a+b)^2-2ab]/(ab)
=(a+b)^2/(ab)-2
=9-2
=7