解
√x-(1/√x)=2
兩邊平方得:
(√x-1/√x)²=4
即x-2+1/x=4
∴x+(1/x)=6
再次平方得:
[x+(1/x)]²=36
∴x²+2+1/x²=36
∴x²+1/x²=34
∴√x²+1/x²+14
=√(x²+1/x²)+14
=√34+14
=√48
=4√3
根號(hào)x - 1/根號(hào)x = 2 ,求 根號(hào)x²+1/x²+14 的值
根號(hào)x - 1/根號(hào)x = 2 ,求 根號(hào)x²+1/x²+14 的值
數(shù)學(xué)人氣:287 ℃時(shí)間:2020-06-14 05:25:29
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