The area of the rectangle is 80 square inches. the length of the rectangle is (2x) inches and width is (x-3).what is the value of X?

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11-02-2016
Mathematics

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The area of the rectangle is 80 square inches. the length of the rectangle is (2x) inches and width is (x-3).what is the value of X?

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Panoyin Panoyin · Answer 1 · 2016-02-12T00:07:17+01:00

A = lw
80 = 2x(x - 3)
80 = 2x(x) - 2x(3)
80 = 2x² - 6x
0 = 2x² - 6x - 80
0 = 2(x²) - 2(3x) - 2(40)
0 = 2(x² - 3x - 40)
2 2
0 = x² - 3x - 40
0 = x² - 8x + 5x - 40
0 = x(x) - x(8) + 5(x) - 5(8)
0 = x(x - 8) + 5(x + 8)
0 = (x + 5)(x + 8)
0 = x + 5 or 0 = x + 8
- 5 - 5 - 8 - 8
-5 = x or -8 = x

The values of x are -5 and -8.