Problema Solution
quadratic equations and systems of quadratic equations
A mirror 36 cm by 24cm is to be set in a frame of uniform width, and the area of the frame is to be equal to that of the glass. Find the width of the frame, using the quadratic equation
Answer provided by our tutors
lwt x be the width then
(36+2x)(24+2x)=2*36*24.
864+72x+48x+4x^2=1728.
4x^2+120x-864=0.
x=-36,6.
take x=6.
width of the frame = 6 cm.