exam Maths Puzzle Numerical Ability

Can any give me a hand with this one? Thanks

Use the discriminant to determine the nature of the rools of each equation. DO NOT SOLVE THE EQUATION.

10x^2 + x = 21

Remember it says not to solve the equation. Thanks!

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exam Other Question

Please solve:
n+2(7+3n)-3n
which has the same value:
2(7+n)
n+14
14+3n
2(7+2n)
21n-3n

my answer is 2(7+2n) which will work out to be: 4n+14.
is this correct?
thanks. Use the determinant to determine whether the quadratic equation has two unequal real solutions, a double real solution or no real solution without solving the equation: x^2-2x+2=0