Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
9514 1404 393
Answer:
x = ±10 m
Step-by-step explanation:
For a square of side length x, the area is given by ...
A = x²
Your square has an area of A=100, so the equation can be written ...
100 = x²
Subtracting 100 from both sides gives ...
x² -100 = 0
and factoring that yields ...
(x -10)(x +10) = 0
The zero product rule tells us that a product is only zero if one or more factors is zero. The values of x that make these factors zero are ...
(x -10) = 0 ⇒ x = 10
(x +10) = 0 ⇒ x = -10
Each side of the square measures 10 meters.
__
There are two possible solutions because the square of a negative number is positive, as is the square of a positive number. (-10)² = 100, just as 10² = 100. There is nothing in the equation that restricts x to positive values.
However, since x is a length equal to the side length of a real geometric object, it cannot have a negative value. So, the only viable answer is x = 10 meters. The solution x = -10 meters is considered to be "extraneous," an artifact of the solution process for the equation.
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.