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The length of a basketball court is
(6x^2 +
20x) m. If the length is 2x times the width,
what is the width of the court?


Sagot :

Solution:

Note that:

  • Length of court = (6x² + 20x)
  • Length of court = 2x(Width of court)

Divide the length of the court by 2x to find the width of the court.

  • Width of court = (6x² + 20x)/2x
  • => Width of court = 6x²/2x + 20x/2x
  • => Width of court = 3x + 10

[tex]\\ \rm\hookrightarrow 6x^2+20x=2x[/tex]

[tex]\\ \rm\hookrightarrow 6x^2=-18x[/tex]

[tex]\\ \rm\hookrightarrow x^2=-3x[/tex]

[tex]\\ \rm\hookrightarrow x=-3[/tex]