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4-1.Complex numbers
easy
$\sqrt{5} x^{2}+x+\sqrt{5}=0$ को हल कीजिए
A
$\frac{-1 \pm \sqrt{19} i}{2 \sqrt{5}}$
B
$\frac{-1 \pm \sqrt{19} i}{2 \sqrt{5}}$
C
$\frac{-1 \pm \sqrt{19} i}{2 \sqrt{5}}$
D
$\frac{-1 \pm \sqrt{19} i}{2 \sqrt{5}}$
Solution
Here, the discriminant of the equation is
$1^{2}-4 \times \sqrt{5} \times \sqrt{5}=1-20=-19$
Therefore, the solutions are
$\frac{-1 \pm \sqrt{-19}}{2 \sqrt{5}}=\frac{-1 \pm \sqrt{19} i}{2 \sqrt{5}}$
Standard 11
Mathematics
