Question

The width of a rectangular window is 2 feet more than its height. If the area is 35 square feet, what is the height?

Answer 1

`h-height\\h+2-width\\35 ft^2-Area\\\\Area=h(h+2)\\\\h(h+2)=35\\h^2+2h-35=0\\\\a=1;\ b=2;\ c=-35\\\\\Delta=b^2-4ac;\ if\ \Delta > 0\ then\ h_1=(-b-\sqrt\Delta)/(2a)\ and\ h_2=(-b+\sqrt\Delta)/(2a)\\\\\Delta=2^2-4\cdot1\cdot(-35)=4+140=144;\ \sqrt\Delta=√(144)=12\\\\h_1=(-2-12)/(2\cdot1)=(-14)/(2)=-7 < 0;\ h_2=(-2+12)/(2\cdot1)=(10)/(2)=5\\\\Answer:Height\ is\ 5\ ft.`