find the value of the discriminant of quadratic equation 2x2+3+x=0
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The quadratic eq is 2x² - 3x + 1 = 0
Here ,
a = 2
b = -3
c = 1
As we know that ,
\begin{gathered}\sf \star \: \: Two \: unequal \: real \: roots \: , \: if \: {(b)}^{2}- 4ac > 0 \\ \\ \sf \star \: \:Two \: equal \: real \: roots \: , \: if \: {(b)}^{2} - 4ac = 0 \\ \\ \sf \star \: \: Two \: unequal \: imaginary \: roots \: , \: if \: {(b)}^{2} - 4ac < 0\end{gathered}⋆Twounequalrealroots,if(b)2−4ac>0⋆Twoequalrealroots,if(b)2−4ac=0⋆Twounequalimaginaryroots,if(b)2−4ac<0
Thus ,
\begin{gathered}\sf \Rightarrow {(3)}^{2} - 4 × 2 × 1 \\ \\ \sf \Rightarrow 9 - 8 \\ \\ \sf \Rightarrow 1 > 0\end{gathered}⇒(3)2−4×2×1⇒9−8⇒1>0
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