Rectangular swimming pool has an area of (70x + 10) square feet. find possible dimensions of the pool.
question 12 options:
10x feet and (7 + x) feet
10 feet and (7 + x) feet
10x feet and (7 + 10) feet
10 feet and (7x + 1) feet

a rectangle's area is simply width * length, so is the product of two factors.

in this case, we know that product, is 70x + 10, so, how can we tease out the factors from it?

well, our GCF from 70x and 10 is "10", but 10 itself is factorable into "2" and "5", so we can simply use that GCF and troupe to see what it might be.

step-by-step explanation:

answer: integers are just whole numbers: positive, negative, and zero.

i = {-∞, -2, -1, 0, 1, 2, 3, ∞}

let x = 1st integer

let y = 2nd integer

x = 3y + 17   {equation 1}

xy = -24         {equation 2}

substitute 3y+17 in place of x n equation 2

and solve for y.

(3y+17)y = -24

3y2 + 17y = -24

3y2 + 17y + 24 = 0

from quadratic equation:

y = [-17±√(172-4(3)(24))]/(2(3))

y = (-17 ±√1)/6

y = (-17+1)/6   or     y = (-17-1)/6

y = -16/6           or     y = -18/6

y = -2 2/3         or   y = -3

since we are dealing with

y = -3

x = 3y+17 = -9+17 = 8

the integers are -3, 8

step-by-step explanation: