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A photograph has a length that is inches longer than its width, x. So its area is given by the expression square inches. If the area
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A photograph has a length that is inches longer than its width, x. So its area is given by the expression square inches. If the area of the photograph is square inches, what is the length of the photograph?
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Mathematics
4 years
2021-08-06T00:28:59+00:00
2021-08-06T00:28:59+00:00 1 Answers
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Answer:
The width is 10 inches.
x(x + 3) = 70
x² + 3x = 70
Subtract 70 from both sides.
x² + 3x – 70 = 0
Factor the trinomial
(x – 7)(x + 10) = 0
Set each equal to zero.
x = – 7, – 10
Distance can’t be negative so x = 7 is the right one. Now we plug in for the length (x + 3)
x + 3
7 + 3
10
Step-by-step explanation: