Question

From the value of discriminat we can conclude that the given equation has ____ solutions.

Answer 1

The discriminant is the part of the quadratic formula underneath the square root symbol: b²- 4ac.

`\sqrt[]{b^2\text{ - 4ac}}`

The discriminant tells us whether there are two solutions, one solution, or no solutions.

The discriminant can be positive, zero, or negative, and this determines how many solutions there are to the given quadratic equation.

• A positive discriminant indicates that the quadratic has two distinct real number solutions.

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• A discriminant of zero indicates that the quadratic has a repeated real number solution.

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• A negative discriminant indicates that neither of the solutions are real numbers.