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# Find the discriminant of the equation $\sqrt[4]{81a^{12}b^{24}}$

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SimplifyFactorFactor by completing the squareFind the integralFind the derivativeFind 81a^12^0.25 using the definitionFind the rootsFind break even points

### Main Topic: Discriminant of Quadratic Equation

Quadratic equations are those algebraic equations of the form $ax^2+bx+c$, where $a$, $b$, and $c$ are constant values. The discriminant of a quadratic equation is calculated using the formula $D=b^2-4ac$, and it helps us to determine how many roots an equation of this type has. When $D>0$ the equation has two real roots, when $D<0$ the equation has no real roots, and when $D=0$ the equation has a repeated real root.

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