Question

17. Find the roots of the quadratic equation v3x² - 2x - 3 = 0.​

Answer 1

Step-by-step explanation:

$\implies$ $a=3; b=-2;c=-3$

Formula :

$\implies$ $x={\Large\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}}$

$\implies$ $x={\Large\frac{-(-2)\pm\sqrt{(-2)^{2}-4(3)(-3)}}{2(3)}}$

$\implies$ $x={\Large\frac{2\pm\sqrt{4+36}}{6}}$

$\implies$ $x={\Large\frac{2\pm2\sqrt{10}}{6}}$

$\implies$ $x={\Large\frac{1\pm\sqrt{10}}{3}}$

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