The perimeter of a rectangular garden is 43.8 feet. Its length is 12.4 feet. What is its width?
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substitute the second term in LHS to get
expand the square,
()
(x + 2)² - 10 = 0 (assuming it's equal to zero)
Expand the binomial: (x + y)² = x² + 2xy + y²
Thus, x² + 4x + 4 - 10 = 0
x² + 4x - 6 = 0
(by quadratic formula)
, since we're taking the positive solution.
Expand the binomial: (x + y)² = x² + 2xy + y²
Thus, x² + 4x + 4 - 10 = 0
x² + 4x - 6 = 0