exam Maths Puzzle Numerical Ability

find the common roots of the equations;
x^4+5x^3-x^2-5x=0 and x^3+4x^2-x-4=0

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exam Other Question

determine f(g(x)) and g(f(x)) and whether these two functions are inverse of each other, where f(x)=6x and g(x)=x/6. I need help with proof

Given: Segement RT is perpendicular to plane P; Segment RK = segment RZ
Prove: Triangle KTZ is isosceles

Picture is a plane with a triangular prism si