若a2+a+1=0,求a4+a3-3a2-4a+3
若a2+a+1=0,求a4+a3-3a2-4a+3
a4+a3-3a2-4a+3
=a^4+a^3+a^2-4a^2-4a+3
=a^2(a^2+a+1)-4a^2-4a-4+7
=a^2(a^2+a+1)-4(a^2+a+1)+7
=0-0+7=7
(a-4/a2-4a+3)x(a-3/a2+3a+2)
(a-4/a2-4a+3)x(a-3/a2+3a+2)
=(a-4)/(a-1)(a-3) × (a-3)/(a+1)(a+2)
=(a-4)/(a-1) × 1/(a+1)(a+2)
=(a-4)/(a-1)(a+1)(a+2)
3×(1×2+2×3+3×4+4×5...98×99+99×100)等于
解:令an=n(n+1)=n^2+n,
Sn=1^2+2^2+……+n^2+1+2+……+n=(1/6)n(n+1)(2n+1)+n(n+1)/2
所以3×(1×2+2×3+3×4+4×5...98×99+99×100)
=3×【(1/6)*99*100*199+99*100/2】
=3×333300
=999900
(4x-3)²=3(4x-3)-2解方程
(4x-3)²-3(4x-3)+2=0
(4x-3-2)(4x-3-1)=0
(4x-5)(4x-4)=0
∴x=5/4 x=1
3/4-3/4÷3+9/25=?简便方法
3/4-3/4÷3+9/25
=3/4-1/4+9/25
=1/2+9/25
=25/50+18/50
=43/50
{x=3分之2y+4 {y=3分之3x-4
x=3分之2y+4,代入y=3分之3x-4 ,得y=3分之2y,解得y=0,则x=3分之4
{9x-11y+1=0①
{4x-5y-3=0②
①×5-②×11,得45x+5-44x+33=0,解得x=-38
代入①,解得y=-31
1×〔2÷3〕×〔3÷4〕×〔4÷5〕×〔5÷3〕......〔4010÷4011〕×〔4011÷4012〕等于多少?
1×〔2÷3〕×〔3÷4〕×〔4÷5〕×〔5÷3〕......〔4010÷4011〕×〔4011÷4012〕 =2/4012(约分) =1/2006
6÷(3╱5+3╱4)=?
原式=6÷27/20=40/9
3+4-5+2×3=?
3+4-5+2×3
=7+6
=13
不懂可追问,有帮助请采纳,谢谢!
(log3(4)+log√3(2))(log2(9)+log4(√3)=
换底公式loga(b)=lgb/lga
[log3(4)+log√3(2)][(log2(9)+log4(√3)]
=[lg4/lg3+lg2/lg√3][lg9/lg2+lg√3/lg2]
=[2lg2/lg3+1/2lg2/lg3][2lg3/lg2+1/2lg3/lg2]
=5/2lg2/lg3*5/2lg3/lg2
=5/2*5/2
=25/2
=12.5