exam Maths Puzzle Numerical Ability

What is the value of b if 2x^2 + bx + 8 has a discriminant of -15 ?
i said 7 but my teacher marked it wrong !!! I think I should have said -7 or +7 ,can someone please expain this to me ?

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exam Other Question

The square of a number added to the original number is 72.
Determine all possible values of the number.
subtract
2x/x^2 - 13x + 42 - 7/ x-6