The area of a couple's rectangular living room is 40 sq meters. the length of the room is 3 meters more than the width. what is the width in meters?

the rectangular living room is calculated as length * width

The area is given to be equal to 40 sq. meters (area = 40 sq. meters)

Let the width = x meters

Length = X+3 meters

Area = Length * Width

40 = X * (X+3)

40 = X^2 + 3X

We solve this quadratic equation

So x = 5 or x= -8

Width  cannot be negative, so we reject x =-8

So x = 5 is the answer

Width of the room = 5 meters

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.