Value of x is 9 , -2
Given that;
Length of box = x feet
Width of box = (x - 7) feet
Area of box = 18 square feet
Find:
Value of x
Computation:
Area of rectangle = Length × Width
Area of rectangular box = x × (x - 7)
x² - 7x = 18
x² - 7x - 18 = 0
Using factorisation;
x² - 7x - 18 = 0
x² - (9 - 2)x - 18 = 0
x² - 9x + 2x - 18 = 0
x(x - 9) + 2(x - 9) = 0
(x - 9)(x + 2) = 0
So,
x = 9, x = -2
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