Applying it's formula, the discriminant of the quadratic equation 2x + 5x² is given of 24.
What is the discriminant of a quadratic equation?
A quadratic equation is modeled by:
\(y = ax^2 + bx + c\)
The discriminant is:
\(\Delta = b^2 - 4ac\)
In this problem, the equation is:
2x + 5x² = 1.
In standard form:
5x² + 2x - 1 = 0.
Hence the coefficients are a = 5, b = 2, c = -1, and the discriminant is given by:
\(\Delta = b^2 - 4ac = (2)^2 - 4(5)(1) = 4 + 20 = 24\).
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