book Maths Puzzle Numerical Ability

use the discriminant to determine whether(((x^2-6x=-15)))has one real solution, two real number solutions or two complex number solutions

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can someone show me how to answer these two problems, thanks...
factor the sums or differences of two cubes..

b^3-8
x^3+8 Hi, please help!

I am trying to solve the system of linear inequalities by graphing, however, I cannot locate an example on this problem:

x + 2y is less than or equal to 3
2