The length of a rectangle is 2 cm less than twice its width. What is the width of the rectangle if its area is 84cm^2?
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The length of a rectangle is 2 cm less than twice its width. What is the width of the rectangle if its area is 84cm^2?
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Answer:
w = 7, -6
Step-by-step explanation:
[tex]\mathrm{w = \frac{84}{2w - 2}}\\\\\mathrm{w=\frac{42}{w-1}}\\\\\mathrm{w\left(w-1\right)=\frac{42}{w-1}\left(w-1\right)}\\\\\mathrm{w\left(w-1\right)=42}\\\\\mathrm{w^2 - w = 42}\\\\\mathrm{w^2 - w - 42 = 0}\\\\\mathrm{w = 7, -6}[/tex]