8 per sq. m? 8. A floor is 50 m long and 40 m wide. A square
carpet of sides 30 m is laid on the floor. Find
the area of the floor that is not carpeted.​

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step-by-step explanation:

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step-by-step explanation:

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let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0

the solution, from the graphing of the two lines, is (3,2), i.e., x = 3, y = 2.