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Shawn made a box with length (x+1), width (x+3) and height (x-3), find x if the volume of the box is equal to 1,001 cubic inches.​

Sagot :

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

[tex]volume = length \times width \times height[/tex]

[tex]1001 = ( x + 1)(x + 3)(x - 3) \\ 1001 = (x + 1)( {x}^{2} - 9) \\ 1001 = {x}^{3} + {x}^{2} - 9x - 9 \\ {x}^{3} + {x}^{2} - 9x - 9 - 1001 = 0 \\ {x}^{3} + {x}^{2} - 9x - 1010 = 0 \\ (x - 10)( {x}^{2} - 11x - 101) = 0 \\ [/tex]

one of the value of x is 10. It came from x -10.