计算或化简(1)( 1/3√27-√24-3√2/3)×√12(2)2/b√ab5×(-2/3√a3b)÷(3√b/a)(a>0,b>0)解方程(3)3(x-2)²=x(x-2)(4)2x²-5x+1=0(2)中是b的五次方,a的三次方
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![计算或化简(1)( 1/3√27-√24-3√2/3)×√12(2)2/b√ab5×(-2/3√a3b)÷(3√b/a)(a>0,b>0)解方程(3)3(x-2)²=x(x-2)(4)2x²-5x+1=0(2)中是b的五次方,a的三次方](/uploads/image/z/5163222-30-2.jpg?t=%E8%AE%A1%E7%AE%97%E6%88%96%E5%8C%96%E7%AE%80%EF%BC%881%EF%BC%89%EF%BC%88+1%2F3%E2%88%9A27-%E2%88%9A24-3%E2%88%9A2%2F3%EF%BC%89%C3%97%E2%88%9A12%EF%BC%882%EF%BC%892%2Fb%E2%88%9Aab5%C3%97%EF%BC%88-2%2F3%E2%88%9Aa3b%EF%BC%89%C3%B7%EF%BC%883%E2%88%9Ab%2Fa%EF%BC%89%28a%EF%BC%9E0%2Cb%EF%BC%9E0%29%E8%A7%A3%E6%96%B9%E7%A8%8B%EF%BC%883%EF%BC%893%EF%BC%88x-2%EF%BC%89%26sup2%3B%3Dx%28x-2%29%EF%BC%884%EF%BC%892x%26sup2%3B-5x%2B1%3D0%282%29%E4%B8%AD%E6%98%AFb%E7%9A%84%E4%BA%94%E6%AC%A1%E6%96%B9%2Ca%E7%9A%84%E4%B8%89%E6%AC%A1%E6%96%B9)
计算或化简(1)( 1/3√27-√24-3√2/3)×√12(2)2/b√ab5×(-2/3√a3b)÷(3√b/a)(a>0,b>0)解方程(3)3(x-2)²=x(x-2)(4)2x²-5x+1=0(2)中是b的五次方,a的三次方
计算或化简
(1)( 1/3√27-√24-3√2/3)×√12
(2)2/b√ab5×(-2/3√a3b)÷(3√b/a)(a>0,b>0)
解方程
(3)3(x-2)²=x(x-2)
(4)2x²-5x+1=0
(2)中是b的五次方,a的三次方
计算或化简(1)( 1/3√27-√24-3√2/3)×√12(2)2/b√ab5×(-2/3√a3b)÷(3√b/a)(a>0,b>0)解方程(3)3(x-2)²=x(x-2)(4)2x²-5x+1=0(2)中是b的五次方,a的三次方
(1)( 1/3√27-√24-3√2/3)×√12
=( 1/3√3²×3-√2²×6-√3²√2/3)×√2²×3
=( √3-2√6-√6)×2√3
=( √3-3√6)×2√3
=6-18√2
(2)2/b√ab5×(-2/3√a3b)÷(3√b/a)(a>0,b>0)
=2/b√ab²b²b×(-2/3√a²ab)÷(3√b/a)
=2b√ab×(-2a/3√ab)÷(3/a√ab)
=-4a²b²/3×a√ab/3ab
=-4a²b√ab/9
(3)3(x-2)²=x(x-2)
一、当x不等于2时,两边同时约去(x-2)得
3(x-2)=x
2x=6
x=3
二、当x等于2时也左右两边为0=0有意义.
所以方程的解为x=3或x=2
(4)2x²-5x+1=0
a=2 b=-5 c=1
因为x=-b±√b²-4ac/2a
x=5±√17/4