Question

x+[x+1]+[x+2]+...+[x+99]=5450

tìm x

Answer 1

\(x+\left(x+1\right)+\left(x+2\right)+.....+\left(x+99\right)=5450\)

\(\Leftrightarrow\left(x+x+.....+x\right)+\left(1+2+....+99\right)=5450\)

\(\Leftrightarrow100x+\dfrac{\left(99+1\right).99}{2}=5450\)

\(\Leftrightarrow100x+4950=5450\)

\(\Leftrightarrow x=5\)

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