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  • Brainly User
2015-09-02T00:58:46+08:00

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Let width = x
     length = 2x + 3
     area = 160 sq meter

Equation:  A = (L) (W)
             160  = (2x + 3) (x)
             160 = 2x² + 3x

Rewrite as quadratic equation in this form:
              2x² + 3x - 160 = 0

This can not be solved by factoring, extracting square root, or completing the square because it has irrational roots.

The only solution is quadratic formula:
 a = 2;  b=3;  c = -160

x = -b +or- √ b² -4ac   Note: b²-4ac is under the radical symbol for square root
             2a

x = -3 + or 1 √9 - 4(2) (-160)
              4

x = -3 + or - √9 + 1289
             4

x = -3 + or - √1289
            4

x = -3+ √1289       or          x = -3-√1289 
            4                                      4


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