1. Find the value of $x$ if $x$ is positive and $x\cdot\lfloor x\rfloor=70$. Express your answer as a decimal.
\(x\cdot\lfloor x\rfloor=70 \)
Note that √70 ≈ 8.366
So... if we divide 70 by 8 we get 70 / 8 = 35 / 4 = 8 3/4 = 8.75
So.....8.75 * 8 = 70
And .... the floor of 8.75 = 8
So
8.75 * floor [ 8.75 ] =
8.75 * 8 =
70
Then x = 8.75
