10^m-2n=400

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10^m-2n=400
若m平方+n平方+2m-6n-6n+10=0求m n的值.

m平方+n平方+2m-6n+10=0(m²+2m+1)+(n²-6n+9)=0(m+1)²+(n-3)²=0m=-1n=3如果本题有什么不明白可以追问,

已知A=根号m+n+10的m-n次方是m+n +10的算术平方根,B=根号4m+6n-1的m-2n+3次方是4m+6n-

根据题意得:m-n=2,m-2n+3=3,解得:m=4,n=2,∴m+n+10=16,A=4;4m+6n-1=27,B=3,∴A-B=1,

已知3^2m=5 3^n=10 求(1)9^m-n (2)9^2m-n

(1)9^(m-n)=9^m÷9^n=3^(2m)÷(3^n)²=5÷10²=1/20(2)9^(2m-n)=9^(2m)÷9^n=(3^2m)²÷(3^n)²

已知(m+n)(m+n)=10,(m-n)(m-n)=2,求mmmm+nnnn的值

设m为3(3+2)+(3+2)=10设n为2(3-2)+(3-2)=23333+2222=5555

已知:m*m=n+2,n*n=m+2.求m*m*m-2mn+n*n*n(m不等于n).

m2=m+2m3=m(n+2)=mn+2mn2=m+2n3=n(m+2)=mn+2nm2-n2=(n+2)-(m+2)(m+n)(m-n)=-(m-n)m≠n则m-n≠0所以m+n=-1原式=mn+2

已知10^m=20,10^n=0.2,求m-n,9^m除以3^2n的值

10^m=20,10^n=0.2,两式相除就得10^(m-n)=20÷0.2=100=100^2于是m-n=29^m除以3^2n=9m÷9n=9^(m-n)=9^2=81

求代数式(2m+n)^2-(3m-n)^2+5m(m-n)的值,其中m=1/10,n=1/5.

1/10(2m+n)^2-(3m-n)^2+5m(m-n)=4m^2+4mn+n^2-9m^2+6mn-n^2+5m^2-5mn=5mn=5*1/10*1/5=1/10

m(m+n)(m-n)-m(m+n)的平方,其中m+n=1,mn=-1/2

m(m+n)(m-n)-m(m+n)^2=m(m+n)[(m-n)-(m+n)]=m(m+n)(-2n)=-2mn(m+n)=-2*(-1/2)*1=1

5(m-2n)方-3(m+n)+2(m+n)-8(m-2n)方,其中m=-10,n=-6时,怎么算

(5-8)(m-2n)²-(3-2)(m+n)=-3(m-2n)²-(m+n)=-3(-10-2(-6))²-(-10-6)=-3×2²+16=-12+16=4

若(m-2n)/(2m+n)=3,则[3(m-2n)/(2m+n)-(m-2n)/[2(2m+n)] - {9(m-2n

(m-2n)/(2m+n)=3m-2n=6m+3n5m+5n=0m=-n[3(m-2n)/(2m+n)-(m-2n)/[2(2m+n)]-{9(m-2n)/[4(2m+n)]}=[3(-n-2n)/(

已知m^2+n^2-6m+10n+34=0,求m-n

原式=(m^2-6m+9)+(n^2+10n+25)=(m-3)^2+(n+5)^2m=3n=-5m-n=8努力学习吧

已知3m=2n,则m/(m+n)+n/(m-n)-n^2/(m^2-n^2)=?

m/(m+n)+n/(m-n)-n^2/(m^2-n^2)=[m(m-n)+n(m+n)-n^2]/(m^2-n^2)=m^2/(m^2-n^2)=1/(1-(n/m)^2)=1/(1-(3/2)^2

已知m/n=5、,求(m/(m+n))+(m/(m-n))-(n^2/(m^3-n^2))

已知m=5n,则原式=(5n/(5n+n))+(5n/(5n-n))-(n^2)/(((5n)^3)-n^2)=(5/6)+(5/4)-[1/(125n-1)]=(25/12)-[1/(125n-1)

已知m+n=10,mn=24,求值:(1)m^2+n^2;(2)(m-n)^2

m^2+n^2=(m+n)^2-2mn=10^2-2x24=100-48=52(m-n)^2=(m+n)^2-4mn=10^2-4x24=100-96=4

m,n,(2m-1)/n,(2n-1)/m为正整数,m,n>=2.求m,n

设m=ta,n=tb=>tb|(2ta-1)=>t|(2ta-1)=>t|1=>t=1所以m,n互素2m=un+1,2n=vm+1相减得(2+v)*m=(2+u)*n由于m,n互素所以m=2+u,n=

先化简,在求值(m+n)(m-n)(-m^2-n^2)-(-2m+n)(-2m-n)(4m^2+n^2) 其中m=1,n

=(m^2-n^2)(-m^2-n^2)-(4m^2-n^2)(4m^2+n^2)=-(m^4-n^4)-(16m^4-n^4)=-(1^4-(-2)^4)-(16*1^4-(-2)^4)=15

求代数式(2m+n)的平方-(3m-n)的平方+5m(m-n)的值,其中m=1/10,n=1/5

(2m+n)的平方-(3m-n)的平方+5m(m-n)=4m^2+4mn+n^2-(9m^2-6mn+n^2)+5m^2-5mn=5mn=5*1/10*1/5=1/10

2x+n/m=m/n-(m/n+n/m)x(m+n不等于0)

2x+n/m=m/n-(m/n+n/m)x(m/n+n/m+2)x=m/n-n/m﹙m+n﹚²x/﹙mn﹚=﹙m+n)(m-n)/﹙mn﹚∵m+n不等于0∴x=(m-n)/﹙m+n﹚