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To find the roots, let y=0 and find the places where the graph crosses the x-axis. When y=0, (8-x)lnx =0. This can be solved by splitting the terms and putting each =0. This is because if the answer is 0,...

Solution is y = 4e² - 5 /2+e²
By applying log laws we can reach the following:
ln(2y+5/...

y = 5x - 5

x*ln|x| - x

The idea here is to explain to the student that i^2=-1, and to expand and simplify the brackets in question just like they would with simple algebra. Therefore:
(5+3i)*(3+5i)=15+25i+9i+15i^2=15+34i-1...