Question

A large rectangular movie screen in an IMAX theater has an area of 9,384 square feet. Find the dimensions of the screen if it is 10 feet longer than it is wide.

what is the length and width in ft?

Answer 1

y - length = 102

x - width = 92

Explanation:

x - width

y - length

`\left \{ {{x = y - 10} \atop {x*y = 9384}} \right. \\`

(y-10)y = 9384

y^2 - 10y - 9384 = 0

Δ = 100 + 37536 = 38536

√Δ = 194

y1 = (10 - 194 )/ 2 = -92 => negative

y2 = (10 + 194)/2 = 102