解方程 2根号3x=根号2(x²+1)
人气:426 ℃ 时间:2020-01-25 18:09:16
解答
2√3 x = √2 (x²+1)
两边同除以√2得:√6 x = x² + 1
x² - √6 x + 1 = 0
a=1,b= -√6,c=1
Δ=b² - 4ac = 6-4 = 2
x = (-b±√Δ)/(2a) = (√6 ±√2) / 2
注意:用公式法之前一定要把方程化成 ax²+bx+c=0的标准形式
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