## Discriminants | Algebra | Chegg Tutors

The discriminant of an equation gives an idea of the number of roots and the nature of roots of the equation. In other words, it “discriminates” between the possible solutions. The discriminant is the expression found under the square root part of the quadratic formula x = -b ± √b2 – 4ac/2a (that is, D = b2 – 4ac. The value of (b2 – 4ac) tells how many solutions, roots, or x-intercepts the quadratic equation will have.

If (b2 – 4ac) is greater than 0, there are two real solutions.

If (b2 – 4ac) is equal 0, there is one real solution.

If (b2 – 4ac) is lesser than 0, there are no real solutions, but there are two complex imaginary solutions.

To find the solutions, manipulate the quadratic equation to standard form (ax2 + bx + c = 0), determine a, b, and c, and plug those values into the discriminant formula.

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University of Pennsylvania, Class of 2007

Math, Computer Science major

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Over 7 years of experience teaching math at 3 universities and a community college. Courses ranged from Intermediate Algebra to Calculus II and class sizes varied from 2 to over 200 students. Tutoring since 2000 formally and informally, individually and in groups, for courses from Geometry to Differential Equations. Please note that I generally will not be available for audio and video in live lessons but my experience has been that audio and video aren’t really needed.

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x^2 + 4x + 5 ?? Pls lemme know values