Question

solve this word problem leading to quadratic equation: the area of a rectangle is 60cm². The length is 11cm more than the width. Find the width.​

Answer 1

Explanation:

let : x The length and y the width you have this system :

xy =60....(1)

x = y+10...(2)

put the value for x in (1): (y+10)y =60

the quadratic equation is : y² +10y - 60 = 0

Δ =b² - 4ac a = 1 b= 10 c= - 60

Δ =10² - 4(1)(-60) = 324 =18²

y 1 = (-10-18)/2 negatif...... refused

y 2 = (-10+18)/2 =4

the width is 4