Register Now

Login

Lost Password

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

222-9+11+12:2*14+14 = ? ( )

Toán Lớp 7: cho 2a-b=2/3(a+b). Tính M=a^4+5^4/b^4+4^4

Toán Lớp 7: cho 2a-b=2/3(a+b). Tính M=a^4+5^4/b^4+4^4

Comments ( 2 )

  1. ${2a-b}$ $=$ $\frac{2}{3}$$({a+b})$
    $⇒$ ${2a-\frac{2a}{3} }$ $=$ $\frac{2b}{3}$-$b$
    $⇒$ $4a$ = $5b$
    $⇒$  $a$ = $\frac{5}{4}$$b$ 
    $⇒$ $M$ $=$ $\frac{(\frac{5}{4}b)^{4}+5^{4}}{b^{4} + 4^{4}}$  = $\frac{5^{4}}{4^{4}}$ = $\frac{625}{256}$ 
    $vuatoanhoc$

  2. Theo bài ta có:
    2a-b=2/3(a+b)
    →6a-3b=2a+2b
    →4a=5b
    ⇒a=5/4b
    M=(a^4+5^4)/(b^4+4^4)
    Thay a vào biểu thức ta có:
    M=((5/4b)^4+5^4)/(b^4+4^4)
    M=(5^4(b^4+4^4))/(4^4(b^4+4^4)((b^4+4^4) bằng nhau nên hết)
    M=5^4/4^4
    Vậy M=5^4/4^4
     

Leave a reply

222-9+11+12:2*14+14 = ? ( )