已知方程4x+2m=3x+1和方程3x+2m=6x+1的解相同;1.求m的值 2.求代数式(m+2)^2010乘(2m-7/5)^2019.
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![已知方程4x+2m=3x+1和方程3x+2m=6x+1的解相同;1.求m的值 2.求代数式(m+2)^2010乘(2m-7/5)^2019.](/uploads/image/z/1636702-70-2.jpg?t=%E5%B7%B2%E7%9F%A5%E6%96%B9%E7%A8%8B4x%2B2m%3D3x%2B1%E5%92%8C%E6%96%B9%E7%A8%8B3x%2B2m%3D6x%2B1%E7%9A%84%E8%A7%A3%E7%9B%B8%E5%90%8C%EF%BC%9B1.%E6%B1%82m%E7%9A%84%E5%80%BC+2.%E6%B1%82%E4%BB%A3%E6%95%B0%E5%BC%8F%EF%BC%88m%2B2%EF%BC%89%5E2010%E4%B9%98%EF%BC%882m-7%2F5%EF%BC%89%5E2019.)
已知方程4x+2m=3x+1和方程3x+2m=6x+1的解相同;1.求m的值 2.求代数式(m+2)^2010乘(2m-7/5)^2019.
已知方程4x+2m=3x+1和方程3x+2m=6x+1的解相同;1.求m的值 2.求代数式(m+2)^2010乘(2m-7/5)^2019.
已知方程4x+2m=3x+1和方程3x+2m=6x+1的解相同;1.求m的值 2.求代数式(m+2)^2010乘(2m-7/5)^2019.
1.由4x+2m=3x+1得x=1-2m
由3x+2m=6x+1得x=(2m-1)/3
所以有1-2m=(2m-1)/3
得m=1/2
2.(m+2)^2010=(5/2)^2010
(2m-7/5)^2019=(-2/5)^2019
(5/2)^2010*(-2/5)^2019={(5/2)*(-2/5)}^2010*(-2/5)^9=(-2/5)^9
(1)已知方程4x+2m=3x+1和方程3x+2m=6x+1的解相同
x=1-2m x=(2m-1)/3
∴1-2m=(2m-1)/3
m=1/2
(2)(m+2)^2010*(2m-7/5)2009
=(5/2)^2010*(-2/5)^2009
=-(5^2010/2^2010)*(2^2009/5^2009)
=-5/2
4x+2m=3x+1 x=1-2m
3x+2m=6x+1 -3x=1-2m x=(2m-1)/3
方程4x+2m=3x+1和方程3x+2m=6x+1的解相同
1-2m=(2m-1)/3
3-6m=2m-1
m=1/2
(m+2)^2010乘(2m-7/5)^2019.
=(1/2+2)^2010*(2*1/2-7/5)^2019
=(5/2)^2010*(-2/5)^2019
=[5/2*(-2/5)]^2010*(-2/5)^9
=(-2/5)^9