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bekas [8.4K]
3 years ago
5

The length of a rectangle is 4 units less than twice the width. What is the length if the area of the rectangle is 160 square un

its?Enter your answer as a number, like this: 42Do not enter any units.
Mathematics
1 answer:
lukranit [14]3 years ago
7 0
<span>Let x be the width of the rectangle, then (2x-4) = length.

</span>x(2x-4)=160 \\ 2x^2-4x-160=0 \ \  |:2 \\ x^2-2x-80=0 \\ D=b^2-4ac=(-2)^2-4*1*80=4+320=324 \\ x_{1,2}= \frac{-bб \sqrt{D} }{2a} \\ x_{1}= \frac{2- \sqrt{324} }{2}= \frac{2-18}{2}=-8 \ \ \ \O \\   x_{2}= \frac{2+ \sqrt{324} }{2}= \frac{2+18}{2}=10 \ units \ (width) \\  \\  length=2*10-4=16 \ units
<span>
Answer: 16.</span>
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The cost of a book was decreased from 60 to 50 by what percent the price decrased with solution​
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