exam Maths Puzzle Numerical Ability

Given the quadratic equation x^2-15=2k(x-4),find k if there are two real and equal roots. I got k=5 and k=3 but I would appreciate it if someone could explain it in detail to me :) Thanks.

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exam Other Question

Perform the indicated operation.

x squared - 3x OVER 5x squared TIMES 10x OVER x squared - 4x + 3
graph
2x-y=5