book Maths Puzzle Numerical Ability

What are the implications of the determinant/dicriminant to the solution of a quadratic equation.

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book Other Question

If f(x)=x^2-3x+5, find f(1)-f(4)
Please help me, i've tried and i just don't understand how to slove this, thanks so much. how do you solve the equation 3x = 3(3x + 1).