exam Maths Puzzle Numerical Ability

Find the value of k so that 2x^2-kx+5=0 has one real rational root.

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exam Other Question

find the domain for the following:

f(x) = sqrt (3x-4)

g(x) = (-2x+1) / (1-3x)
Solve the equation. √96 / x√23 = 1/2
If you could put down all the steps I would appreciate it!!!!