Alarge rectangular movie screen in an imax theater has an area of 6,699 square feet. find the dimensions of the screen if it is 10 feet longer than it is wide length = width =

Length=87 ft

Width=77 ft

Step-by-step explanation:

Let

L ----> the length of rectangular movie screen

W ----> the width of rectangular movie screen

we know that

The area is equal to

so

----> equation A

----> equation B

substitute equation B in equation A

Solve the quadratic equation by graphing

The solution is

see the attached figure

Find the value of L

answer:   y=2x-3

step-by-step explanation:

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