The discriminant is the term underneath the square root in the quadratic formula and tells us the number of solutions to a quadratic equation. If the discriminant is positive, we know that we have 2 solutions. If it is negative, there are no solutions and if the discriminant is equal to zero, we have one solution. The discriminant is calculuated by squaring the "b" term and subtracting 4 times the "a" term times the "c" term.
Sample Problems (5)
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Find the number of solutions of
A furniture business uses the formula f(x) = 5400 + 300x − 40x² to calculate its monthly income, where f(x) stands for income and x represents the number of items sold. Will their monthly income ever reach $6000?