define discriminant. explain how to evaluate the discriminant and its significane to quadratic equations

Question

define discriminant. explain how to evaluate the discriminant and its significane to quadratic equations

Answer 1

Hi Shawina,

Define discriminant: The discriminant is the expression under the radical (the square root sign of the quadratic equation).

How to evaluate the discriminant: We evaluate the discriminant by finding b²-4ac. 

Significance to quadratic equations: We can use the discriminant to find the number of solutions of a quadratic equation.

If the discriminant is a positive number, the equation has two real solutions.

If the discriminant is zero, the equation has one real solution.

If the discriminant is a negative number, the equation has no real solutions.

Best, 

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