Tell whether or not each of the following situations illustrates quadratic equations. Justify your answer by representing each situation by a mathematical sentence. A garden 7 m by 12 m will be expanded by planting a border of flowers. The border will be of the same width around the entire garden and has an area of 92 m^2

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Answers

2016-06-20T06:32:16+08:00
The problem is a quadratic equation with the mathemetical sentence:  x^{2} +19x-8=0..
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  • Brainly User
2016-06-20T07:21:19+08:00
Let x be the width to be added to each dimension.

The new dimensions will be:
Length: 12 + x
Width:  7 + x
Area of expanded garden = 92 m²

Equation:
(12 + x) (7 + x) = 92

x² + 12x + 7x + 84 = 92

x² + 19x + 84 - 92 = 0

x² + 19x - 8 = 0    ⇒   Mathematical Sentence

ANSWER:  The equation is quadratic.
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