Question

which part of the quadratic formula expresses the discriminant of quadratic equations?Quadratic formula;
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Answer 1

Answer:

D= b2-4ac D is called the discriminant of quadratic formula.

Answer 2

b²-4ac is the part of quadratic formula that expresses the discriminant of quadratic equations.

Explanation:

• The quadratic formula for the quadratic equation $ax^{2} +bx+c$ is, x= $\frac{-b}{2a}$±$\frac{\sqrt[]{b^{2}-4ac }}{2a}$
• In this formula, the square root part, $b^{2}-4ac$ is the discriminant of quadratic equation.
• The quadratic equation has no real solutions, if the discriminant value is negative i.e. $b^{2}-4ac<0$.
• The quadratic equation has one solution, if the discriminant value is equal to zero i.e. $b^{2}-4ac=0$.
• The quadratic equation has two real solutions, if the discriminant value is positive i.e.$b^{2}-4ac>0$.