Answer two questions, one of which must be question 4.
Use a diagram to illustrate that this is the same as
(a + b) = a + 2ab + b
(b)Describe Pythagoras' Theorem with Euclid's proof (use non technical language to describe how the proof works)
(Mathematics in Western Culture)
ax - x = b
Where a and b are line segments with a>2b, he would draw line AB = a and bisect it at C. Then at C he would erect a perpendicular CP equal in length to b. With P as centre and radius a/2 he would draw a circle cutting AB at D.
Then on AB he would construct rectangle ABMK of whidth BM = BD and complete the square BDHM. This square is the area x having the property specified in the quadratic equation. Try this construction (choose values of a and b)
Why does this construction work?
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