Solve the problem using a system of equations: The difference of the squares of two numbers is 15. The difference of twice the square of the first number and the square of the second number is 30. Find the numbers. (__,__),(__,__)

(3.873, 0) (-3.873,0)

Step-by-step explanation:

let the two numbers be x & y

-=15 ---1

2-=30 --- 2

substract the equation

=15

x=+3.87 or -3.87

and y = 0 when you substitute x^{2} back to the first equation

15-y^2=15

Y^2=0

y=0

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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