exam Maths Puzzle Numerical Ability

For what values of k does the equation 2x squared + (1-k)x+8=0 have a double root? I have tried numerous ideas, but cannot figure this out.

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exam Other Question

write each fraction as a terminating or repeating decimal 3/8 huh? i really dont get this Is sqrt of a + sqrt of b = sqrt a+b for all values of a and b?