biet x=\(\frac{a}{b+c}\)=\(\frac{b}{c+a}\)=\(\frac{c}{a+b}\)
tim x trong 2 truong hop sau
a] a+b+c=0
b] a+b+c khac 0
a+b+c=\(\frac{ab+ac}{2}=\frac{bc+ba}{3}=\frac{ca+cb}{4}\) tim a,b,c khac 0
Cho a , b , c khac 0 va \(\frac{a+b}{ab}=\frac{b+c}{bc}=\frac{c+a}{ca}\) Tinh C=\(\frac{ab^2+bc^2+ca^2}{a^3+b^3+c^3}\)
cho a b c doi mot khac nhau khac 0 biet ab la so nguyen to va ab/bc=b/c tim abc(ab,bc,abc co gach ngang)
cho \(\frac{a^2+b^2}{c^2+d^2}=\frac{ab}{cd}\) voi a; b; c khac 0 va c khac cong tru d . CMR \(\frac{a}{b}=\frac{c}{d}\)
cho a b c doi mot khac nhau va khac 0 biet ab la so nguyen to va ab/bc=b/c tim abc (ab, bc,abc co gach ngang)
cho a,b,c khac 0 ; a++b+c khac 0 thoa man \(\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=\frac{1}{a+b+c}\)
CMR\(\frac{1}{a^{2009}}+\frac{1}{b^{2009}}+\frac{1}{c^{2009}}=\frac{1}{a^{2009}+b^{2009}+c^{2009}}\)
1) Cho biet X=-2 la nghiem cua p(x) =aX+b (a khac 0 ) tinh \(\frac{2016a+b}{3a-b}\)
2)xho biet X=-2 la nghiem cua da thuc A(x)=aX+b (a khac 0) Tinh \(\frac{2014a+b}{3a-b}\)
tim a,b,c khac 0 thoa man :a+b+c=(ab+ac)/2=(bc+ba)/3=(ca+cb)/4