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What is the discriminant​

What is the discriminant​-example-1

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\bf \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{-4}x\stackrel{\stackrel{c}{\downarrow }}{-7} ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one real solution}\\ \underline{positive}&\textit{two real solutions}~~\textit{\Large \checkmark}\\ negative&\textit{no solution} \end{cases} \\\\\\ (-4)^2-4(1)(-7)\implies 16+28\implies 44

User Ctc Chen
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5 votes

Answer:a function of the coefficients of a polynomial equation whose value gives information about the roots of the polynomial.

Explanation:

User Rumbles
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