Question

Nếu 0<a<b<c<d<e<f

và (a-b)(c-d)(e-f )x=(b-a)(d-c)(f-e). Thì x bằng?

Answer 1

\(\left(a-b\right)\left(c-d\right)\left(e-f\right)x\)

\(=\left(b-a\right)\left(d-c\right)\left(f-e\right)\)

\(\Rightarrow\left(a-b\right)\left(c-d\right)\left(e-f\right)x\)

\(=-\left(a-b\right)\left(c-d\right)\left(e-f\right)\)

\(\Rightarrow x=\frac{\left(a-b\right)\left(c-d\right)\left(e-f\right)}{-\left(a-b\right)\left(c-d\right)\left(e-f\right)}\)

\(\Rightarrow x=-1\)

Vậy \(x=-1\)